8616 has 16 divisors (see below), whose sum is σ = 21600. Its totient is φ = 2864.

The previous prime is 8609. The next prime is 8623. The reversal of 8616 is 6168.

It is an interprime number because it is at equal distance from previous prime (8609) and next prime (8623).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8592 and 8601.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8616.

It is an unprimeable number.

8616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 156 + ... + 203.

It is an arithmetic number, because the mean of its divisors is an integer number (1350).

2⁸⁶¹⁶ is an apocalyptic number.

It is an amenable number.

8616 is an abundant number, since it is smaller than the sum of its proper divisors (12984).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10800).

8616 is a wasteful number, since it uses less digits than its factorization.

8616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 364 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 8616 is about 92.8224110870. The cubic root of 8616 is about 20.5006940078.

The spelling of 8616 in words is "eight thousand, six hundred sixteen".