86957664 has 48 divisors (see below), whose sum is σ = 238194432. Its totient is φ = 27724928.

The previous prime is 86957639. The next prime is 86957671. The reversal of 86957664 is 46675968.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 17484 + ... + 21899.

It is an arithmetic number, because the mean of its divisors is an integer number (4962384).

Almost surely, 2^86957664 is an apocalyptic number.

It is an amenable number.

86957664 is an abundant number, since it is smaller than the sum of its proper divisors (151236768).

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

86957664 is a wasteful number, since it uses less digits than its factorization.

86957664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39419 (or 39411 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The square root of 86957664 is about 9325.1093291178. The cubic root of 86957664 is about 443.0328758593.

The spelling of 86957664 in words is "eighty-six million, nine hundred fifty-seven thousand, six hundred sixty-four".