86956032 has 48 divisors (see below), whose sum is σ = 231842520. Its totient is φ = 28983296.

The previous prime is 86956013. The next prime is 86956057. The reversal of 86956032 is 23065968.

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

It is a super-2 number, since 2×86956032² = 15122703002370048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 933 + ... + 13220.

Almost surely, 2^86956032 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 86956032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115921260).

86956032 is an abundant number, since it is smaller than the sum of its proper divisors (144886488).

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

86956032 is a wasteful number, since it uses less digits than its factorization.

86956032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14178 (or 14158 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 86956032 is about 9325.0218230308. The cubic root of 86956032 is about 443.0301042647.

The spelling of 86956032 in words is "eighty-six million, nine hundred fifty-six thousand, thirty-two".