88032960 has 224 divisors, whose sum is σ = 324794880. Its totient is φ = 22404096.

The previous prime is 88032941. The next prime is 88032961. The reversal of 88032960 is 6923088.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (88032961) 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 31 ways as a sum of consecutive naturals, for example, 198499 + ... + 198941.

Almost surely, 2^88032960 is an apocalyptic number.

88032960 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 88032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162397440).

88032960 is an abundant number, since it is smaller than the sum of its proper divisors (236761920).

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

88032960 is a wasteful number, since it uses less digits than its factorization.

88032960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 88032960 is about 9382.5881290825. The cubic root of 88032960 is about 444.8515432911.

The spelling of 88032960 in words is "eighty-eight million, thirty-two thousand, nine hundred sixty".