8976 has 40 divisors (see below), whose sum is σ = 26784. Its totient is φ = 2560.

The previous prime is 8971. The next prime is 8999. The reversal of 8976 is 6798.

It is a happy number.

It is a d-powerful number, because it can be written as 8 + 7⁴ + 9⁴ + 6 .

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 8976.

It is not an unprimeable number, because it can be changed into a prime (8971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 520 + ... + 536.

8976 is the 51-st nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13392).

8976 is an abundant number, since it is smaller than the sum of its proper divisors (17808).

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

8976 is a wasteful number, since it uses less digits than its factorization.

8976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 33 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 8976 is about 94.7417542586. The cubic root of 8976 is about 20.7823321369.

It can be divided in two parts, 897 and 6, that added together give a triangular number (903 = T₄₂).

The spelling of 8976 in words is "eight thousand, nine hundred seventy-six".