88672800 has 72 divisors (see below), whose sum is σ = 288637776. Its totient is φ = 23645440.

The previous prime is 88672777. The next prime is 88672819. The reversal of 88672800 is 827688.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 16074 + ... + 20873.

It is an arithmetic number, because the mean of its divisors is an integer number (4008858).

Almost surely, 2^88672800 is an apocalyptic number.

88672800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88672800 is an abundant number, since it is smaller than the sum of its proper divisors (199964976).

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

88672800 is a wasteful number, since it uses less digits than its factorization.

88672800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36970 (or 36957 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 88672800 is about 9416.6235987216. The cubic root of 88672800 is about 445.9266973847.

The spelling of 88672800 in words is "eighty-eight million, six hundred seventy-two thousand, eight hundred".