88896800 has 36 divisors (see below), whose sum is σ = 217021266. Its totient is φ = 35558400.

The previous prime is 88896751. The next prime is 88896811. The reversal of 88896800 is 869888.

It can be written as a sum of positive squares in 3 ways, for example, as 67699984 + 21196816 = 8228^2 + 4604^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 54761 + ... + 56360.

Almost surely, 2^88896800 is an apocalyptic number.

88896800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88896800 is an abundant number, since it is smaller than the sum of its proper divisors (128124466).

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

88896800 is a wasteful number, since it uses less digits than its factorization.

88896800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111141 (or 111128 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 47.

The square root of 88896800 is about 9428.5099565096. The cubic root of 88896800 is about 446.3018728915.

The spelling of 88896800 in words is "eighty-eight million, eight hundred ninety-six thousand, eight hundred".