86976768 has 72 divisors (see below), whose sum is σ = 233833600. Its totient is φ = 28698624.

The previous prime is 86976749. The next prime is 86976781. The reversal of 86976768 is 86767968.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83193 + ... + 84231.

Almost surely, 2^86976768 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 86976768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116916800).

86976768 is an abundant number, since it is smaller than the sum of its proper divisors (146856832).

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

86976768 is a wasteful number, since it uses less digits than its factorization.

86976768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1153 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 57.

The square root of 86976768 is about 9326.1336040183. The cubic root of 86976768 is about 443.0653172411.

The spelling of 86976768 in words is "eighty-six million, nine hundred seventy-six thousand, seven hundred sixty-eight".