88971264 has 96 divisors (see below), whose sum is σ = 263718000. Its totient is φ = 29638656.

The previous prime is 88971229. The next prime is 88971277. The reversal of 88971264 is 46217988.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54492 + ... + 56100.

Almost surely, 2^88971264 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 88971264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131859000).

88971264 is an abundant number, since it is smaller than the sum of its proper divisors (174746736).

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

88971264 is a wasteful number, since it uses less digits than its factorization.

88971264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1614 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 88971264 is about 9432.4580041472. The cubic root of 88971264 is about 446.4264523578.

The spelling of 88971264 in words is "eighty-eight million, nine hundred seventy-one thousand, two hundred sixty-four".