86438800 has 60 divisors (see below), whose sum is σ = 237343936. Its totient is φ = 29635200.

The previous prime is 86438791. The next prime is 86438827. The reversal of 86438800 is 883468.

It is a super-2 number, since 2×86438800² = 14943332290880000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 86438800.

It is a congruent number.

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, 12636 + ... + 18235.

Almost surely, 2^86438800 is an apocalyptic number.

86438800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86438800 is an abundant number, since it is smaller than the sum of its proper divisors (150905136).

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

86438800 is a wasteful number, since it uses less digits than its factorization.

86438800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30896 (or 30885 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 86438800 is about 9297.2469043260. The cubic root of 86438800 is about 442.1499460547.

The spelling of 86438800 in words is "eighty-six million, four hundred thirty-eight thousand, eight hundred".