88500960 has 144 divisors (see below), whose sum is σ = 309582000. Its totient is φ = 23009280.

The previous prime is 88500931. The next prime is 88500961. The reversal of 88500960 is 6900588.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-5 number, since 5×88500960⁵ (a number of 41 digits) contains 55555 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88500961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58291 + ... + 59789.

It is an arithmetic number, because the mean of its divisors is an integer number (2149875).

Almost surely, 2^88500960 is an apocalyptic number.

88500960 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 88500960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154791000).

88500960 is an abundant number, since it is smaller than the sum of its proper divisors (221081040).

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

88500960 is a wasteful number, since it uses less digits than its factorization.

88500960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 88500960 is about 9407.4948843994. The cubic root of 88500960 is about 445.6384556824.

The spelling of 88500960 in words is "eighty-eight million, five hundred thousand, nine hundred sixty".