88992640 has 64 divisors (see below), whose sum is σ = 232107120. Its totient is φ = 32358400.

The previous prime is 88992593. The next prime is 88992641. The reversal of 88992640 is 4629988.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88992641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 720 + ... + 13360.

Almost surely, 2^88992640 is an apocalyptic number.

88992640 is a gapful number since it is divisible by the number (80) 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 88992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116053560).

88992640 is an abundant number, since it is smaller than the sum of its proper divisors (143114480).

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

88992640 is a wasteful number, since it uses less digits than its factorization.

88992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12671 (or 12659 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 88992640 is about 9433.5910447719. The cubic root of 88992640 is about 446.4622019069.

The spelling of 88992640 in words is "eighty-eight million, nine hundred ninety-two thousand, six hundred forty".