86957832 has 64 divisors (see below), whose sum is σ = 246456000. Its totient is φ = 25346304.

The previous prime is 86957831. The next prime is 86957833. The reversal of 86957832 is 23875968.

It is an interprime number because it is at equal distance from previous prime (86957831) and next prime (86957833).

It is a super-2 number, since 2×86957832² = 15123329092280448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86957831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1407 + ... + 13262.

It is an arithmetic number, because the mean of its divisors is an integer number (3850875).

Almost surely, 2^86957832 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 86957832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123228000).

86957832 is an abundant number, since it is smaller than the sum of its proper divisors (159498168).

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

86957832 is a wasteful number, since it uses less digits than its factorization.

86957832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14710 (or 14706 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 86957832 is about 9325.1183370507. The cubic root of 86957832 is about 443.0331611686.

The spelling of 86957832 in words is "eighty-six million, nine hundred fifty-seven thousand, eight hundred thirty-two".