86338400 has 36 divisors (see below), whose sum is σ = 210775572. Its totient is φ = 34535040.

The previous prime is 86338397. The next prime is 86338459. The reversal of 86338400 is 483368.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 53162 + ... + 54761.

It is an arithmetic number, because the mean of its divisors is an integer number (5854877).

Almost surely, 2^86338400 is an apocalyptic number.

86338400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86338400 is an abundant number, since it is smaller than the sum of its proper divisors (124437172).

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

86338400 is a wasteful number, since it uses less digits than its factorization.

86338400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107943 (or 107930 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 86338400 is about 9291.8458876587. The cubic root of 86338400 is about 441.9786917377.

The spelling of 86338400 in words is "eighty-six million, three hundred thirty-eight thousand, four hundred".