88511920 has 80 divisors (see below), whose sum is σ = 236770560. Its totient is φ = 30143232.

The previous prime is 88511879. The next prime is 88511939. The reversal of 88511920 is 2911588.

It is a tau number, because it is divible by the number of its divisors (80).

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, 99799 + ... + 100681.

It is an arithmetic number, because the mean of its divisors is an integer number (2959632).

Almost surely, 2^88511920 is an apocalyptic number.

88511920 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 88511920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118385280).

88511920 is an abundant number, since it is smaller than the sum of its proper divisors (148258640).

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

88511920 is a wasteful number, since it uses less digits than its factorization.

88511920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 34.

The square root of 88511920 is about 9408.0773806342. The cubic root of 88511920 is about 445.6568509475.

The spelling of 88511920 in words is "eighty-eight million, five hundred eleven thousand, nine hundred twenty".