88957120 has 112 divisors (see below), whose sum is σ = 244620288. Its totient is φ = 30182400.

The previous prime is 88957117. The next prime is 88957129. The reversal of 88957120 is 2175988.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (88957129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338109 + ... + 338371.

Almost surely, 2^88957120 is an apocalyptic number.

88957120 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 88957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122310144).

88957120 is an abundant number, since it is smaller than the sum of its proper divisors (155663168).

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

88957120 is a wasteful number, since it uses less digits than its factorization.

88957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The square root of 88957120 is about 9431.7082227982. The cubic root of 88957120 is about 446.4027945680.

The spelling of 88957120 in words is "eighty-eight million, nine hundred fifty-seven thousand, one hundred twenty".