8676 has 18 divisors (see below), whose sum is σ = 22022. Its totient is φ = 2880.

The previous prime is 8669. The next prime is 8677. The reversal of 8676 is 6768.

It can be written as a sum of positive squares in only one way, i.e., 8100 + 576 = 90^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8676.

It is not an unprimeable number, because it can be changed into a prime (8677) by changing a digit.

8676 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 85 + ... + 156.

2⁸⁶⁷⁶ is an apocalyptic number.

It is an amenable number.

8676 is an abundant number, since it is smaller than the sum of its proper divisors (13346).

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

8676 is a wasteful number, since it uses less digits than its factorization.

8676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 246 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 8676 is about 93.1450481776. The cubic root of 8676 is about 20.5481714678.

Subtracting from 8676 its sum of digits (27), we obtain a square (8649 = 93²).

The spelling of 8676 in words is "eight thousand, six hundred seventy-six".