86928160 has 48 divisors (see below), whose sum is σ = 224042112. Its totient is φ = 31609600.

The previous prime is 86928137. The next prime is 86928161. The reversal of 86928160 is 6182968.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (86928161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22936 + ... + 26455.

It is an arithmetic number, because the mean of its divisors is an integer number (4667544).

Almost surely, 2^86928160 is an apocalyptic number.

86928160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86928160 is an abundant number, since it is smaller than the sum of its proper divisors (137113952).

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

86928160 is a wasteful number, since it uses less digits than its factorization.

86928160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49417 (or 49409 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 86928160 is about 9323.5272295414. The cubic root of 86928160 is about 442.9827644221.

The spelling of 86928160 in words is "eighty-six million, nine hundred twenty-eight thousand, one hundred sixty".