89115200 has 42 divisors (see below), whose sum is σ = 219283026. Its totient is φ = 35645440.

The previous prime is 89115167. The next prime is 89115227. The reversal of 89115200 is 251198.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 31719424 + 57395776 = 5632^2 + 7576^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 89115200.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26249 + ... + 29448.

Almost surely, 2^89115200 is an apocalyptic number.

89115200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89115200 is an abundant number, since it is smaller than the sum of its proper divisors (130167826).

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

89115200 is a wasteful number, since it uses less digits than its factorization.

89115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55719 (or 55704 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 89115200 is about 9440.0847453823. The cubic root of 89115200 is about 446.6670626961.

Adding to 89115200 its reverse (251198), we get a palindrome (89366398).

The spelling of 89115200 in words is "eighty-nine million, one hundred fifteen thousand, two hundred".