86976 has 42 divisors (see below), whose sum is σ = 250952. Its totient is φ = 28800.

The previous prime is 86969. The next prime is 86981. The reversal of 86976 is 67968.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 86976.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 501 + ... + 651.

2⁸⁶⁹⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125476).

86976 is an abundant number, since it is smaller than the sum of its proper divisors (163976).

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

86976 is a wasteful number, since it uses less digits than its factorization.

86976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 156 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 86976 is about 294.9169374587. The cubic root of 86976 is about 44.3064013157.

The spelling of 86976 in words is "eighty-six thousand, nine hundred seventy-six".