89934864 has 80 divisors (see below), whose sum is σ = 242008320. Its totient is φ = 28753920.

The previous prime is 89934787. The next prime is 89934881. The reversal of 89934864 is 46843998.

It is a happy number.

Its product of digits (1492992) is a multiple of the sum of its prime factors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139984 + ... + 140624.

It is an arithmetic number, because the mean of its divisors is an integer number (3025104).

Almost surely, 2^89934864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89934864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121004160).

89934864 is an abundant number, since it is smaller than the sum of its proper divisors (152073456).

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

89934864 is a wasteful number, since it uses less digits than its factorization.

89934864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 762 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The square root of 89934864 is about 9483.3993905139. The cubic root of 89934864 is about 448.0323371641.

The spelling of 89934864 in words is "eighty-nine million, nine hundred thirty-four thousand, eight hundred sixty-four".