89312800 has 36 divisors (see below), whose sum is σ = 218036826. Its totient is φ = 35724800.

The previous prime is 89312789. The next prime is 89312813. The reversal of 89312800 is 821398.

It can be written as a sum of positive squares in 3 ways, for example, as 58798224 + 30514576 = 7668^2 + 5524^2 .

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, 55021 + ... + 56620.

Almost surely, 2^89312800 is an apocalyptic number.

89312800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89312800 is an abundant number, since it is smaller than the sum of its proper divisors (128724026).

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

89312800 is a wasteful number, since it uses less digits than its factorization.

89312800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111661 (or 111648 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 89312800 is about 9450.5449578318. The cubic root of 89312800 is about 446.9969587416.

The spelling of 89312800 in words is "eighty-nine million, three hundred twelve thousand, eight hundred".