89760864 has 48 divisors (see below), whose sum is σ = 248028480. Its totient is φ = 28344960.

The previous prime is 89760859. The next prime is 89760899. The reversal of 89760864 is 46806798.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 22782 + ... + 26429.

It is an arithmetic number, because the mean of its divisors is an integer number (5167260).

Almost surely, 2^89760864 is an apocalyptic number.

It is an amenable number.

89760864 is an abundant number, since it is smaller than the sum of its proper divisors (158267616).

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

89760864 is a wasteful number, since it uses less digits than its factorization.

89760864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49243 (or 49235 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 89760864 is about 9474.2210233876. The cubic root of 89760864 is about 447.7432095553.

The spelling of 89760864 in words is "eighty-nine million, seven hundred sixty thousand, eight hundred sixty-four".