86932160 has 84 divisors (see below), whose sum is σ = 237786672. Its totient is φ = 29654016.

The previous prime is 86932159. The next prime is 86932171. The reversal of 86932160 is 6123968.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 86932160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 441182 + ... + 441378.

Almost surely, 2^86932160 is an apocalyptic number.

86932160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118893336).

86932160 is an abundant number, since it is smaller than the sum of its proper divisors (150854512).

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

86932160 is an equidigital number, since it uses as much as digits as its factorization.

86932160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 86932160 is about 9323.7417381650. The cubic root of 86932160 is about 442.9895589364.

Multiplying 86932160 by its sum of digits (35), we get a square (3042625600 = 55160²).

86932160 divided by its sum of digits (35) gives a square (2483776 = 1576²).

The spelling of 86932160 in words is "eighty-six million, nine hundred thirty-two thousand, one hundred sixty".