86804400 has 60 divisors (see below), whose sum is σ = 278067272. Its totient is φ = 23147520.

The previous prime is 86804359. The next prime is 86804413. The reversal of 86804400 is 440868.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34969 + ... + 37368.

Almost surely, 2^86804400 is an apocalyptic number.

86804400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86804400 is an abundant number, since it is smaller than the sum of its proper divisors (191262872).

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

86804400 is a wasteful number, since it uses less digits than its factorization.

86804400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72358 (or 72347 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 86804400 is about 9316.8878924242. The cubic root of 86804400 is about 442.7724390797.

The spelling of 86804400 in words is "eighty-six million, eight hundred four thousand, four hundred".