88531968 has 176 divisors, whose sum is σ = 282977280. Its totient is φ = 24059904.

The previous prime is 88531957. The next prime is 88531979. The reversal of 88531968 is 86913588.

It is an interprime number because it is at equal distance from previous prime (88531957) and next prime (88531979).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494503 + ... + 494681.

Almost surely, 2^88531968 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 88531968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141488640).

88531968 is an abundant number, since it is smaller than the sum of its proper divisors (194445312).

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

88531968 is a wasteful number, since it uses less digits than its factorization.

88531968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 214 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 88531968 is about 9409.1427877358. The cubic root of 88531968 is about 445.6904955838.

The spelling of 88531968 in words is "eighty-eight million, five hundred thirty-one thousand, nine hundred sixty-eight".