88976800 has 72 divisors (see below), whose sum is σ = 236984832. Its totient is φ = 32352000.

The previous prime is 88976773. The next prime is 88976821. The reversal of 88976800 is 867988.

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, 3745 + ... + 13855.

It is an arithmetic number, because the mean of its divisors is an integer number (3291456).

Almost surely, 2^88976800 is an apocalyptic number.

88976800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88976800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118492416).

88976800 is an abundant number, since it is smaller than the sum of its proper divisors (148008032).

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

88976800 is a wasteful number, since it uses less digits than its factorization.

88976800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10142 (or 10129 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The square root of 88976800 is about 9432.7514543743. The cubic root of 88976800 is about 446.4357113982.

The spelling of 88976800 in words is "eighty-eight million, nine hundred seventy-six thousand, eight hundred".