86388800 has 42 divisors (see below), whose sum is σ = 212574378. Its totient is φ = 34554880.

The previous prime is 86388793. The next prime is 86388817. The reversal of 86388800 is 888368.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 26543104 + 59845696 = 5152^2 + 7736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25397 + ... + 28596.

Almost surely, 2^86388800 is an apocalyptic number.

86388800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86388800 is an abundant number, since it is smaller than the sum of its proper divisors (126185578).

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

86388800 is a wasteful number, since it uses less digits than its factorization.

86388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54015 (or 54000 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 86388800 is about 9294.5575472962. The cubic root of 86388800 is about 442.0646766258.

The spelling of 86388800 in words is "eighty-six million, three hundred eighty-eight thousand, eight hundred".