88913664 has 216 divisors, whose sum is σ = 302920800. Its totient is φ = 24551424.

The previous prime is 88913663. The next prime is 88913677. The reversal of 88913664 is 46631988.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88913663) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 596662 + ... + 596810.

Almost surely, 2^88913664 is an apocalyptic number.

88913664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88913664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151460400).

88913664 is an abundant number, since it is smaller than the sum of its proper divisors (214007136).

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

88913664 is a wasteful number, since it uses less digits than its factorization.

88913664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 198 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 88913664 is about 9429.4042229613. The cubic root of 88913664 is about 446.3300927258.

The spelling of 88913664 in words is "eighty-eight million, nine hundred thirteen thousand, six hundred sixty-four".