• 616 can be written using four 4's:

616 has 16 divisors (see below), whose sum is σ = 1440. Its totient is φ = 240.

The previous prime is 613. The next prime is 617.

616 is nontrivially palindromic in base 10 and base 12.

616 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It is an alternating number because its digits alternate between even and odd.

616 is an undulating number in base 10 and base 12.

It is a plaindrome in base 16.

It is a nialpdrome in base 5, base 9, base 11 and base 14.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 596 and 605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51 + ... + 61.

It is an arithmetic number, because the mean of its divisors is an integer number (90).

616 is the 16-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720).

616 is an abundant number, since it is smaller than the sum of its proper divisors (824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

616 is a wasteful number, since it uses less digits than its factorization.

616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24 (or 20 counting only the distinct ones).

The product of its digits is 36, while the sum is 13.

The square root of 616 is about 24.8193472920. The cubic root of 616 is about 8.5086417302.

Multiplying 616 by its sum of digits (13), we get a palindrome (8008).

It can be divided in two parts, 6 and 16, that added together give a palindrome (22).

The spelling of 616 in words is "six hundred sixteen", and thus it is an aban number and an oban number.

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