86915664 has 120 divisors (see below), whose sum is σ = 272711712. Its totient is φ = 25608960.

The previous prime is 86915659. The next prime is 86915669. The reversal of 86915664 is 46651968.

86915664 is a `hidden beast` number, since 86 + 9 + 1 + 566 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (86915659) and next prime (86915669).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86915669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57867 + ... + 59349.

Almost surely, 2^86915664 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 86915664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136355856).

86915664 is an abundant number, since it is smaller than the sum of its proper divisors (185796048).

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

86915664 is a wasteful number, since it uses less digits than its factorization.

86915664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1536 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 86915664 is about 9322.8570728077. The cubic root of 86915664 is about 442.9615370166.

The spelling of 86915664 in words is "eighty-six million, nine hundred fifteen thousand, six hundred sixty-four".