88632960 has 256 divisors, whose sum is σ = 314616960. Its totient is φ = 21086208.

The previous prime is 88632949. The next prime is 88632979. The reversal of 88632960 is 6923688.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1322847 + ... + 1322913.

Almost surely, 2^88632960 is an apocalyptic number.

88632960 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 88632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157308480).

88632960 is an abundant number, since it is smaller than the sum of its proper divisors (225984000).

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

88632960 is a wasteful number, since it uses less digits than its factorization.

88632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 88632960 is about 9414.5079531540. The cubic root of 88632960 is about 445.8599035804.

The spelling of 88632960 in words is "eighty-eight million, six hundred thirty-two thousand, nine hundred sixty".