88581120 has 176 divisors, whose sum is σ = 290837760. Its totient is φ = 23003136.

The previous prime is 88581113. The next prime is 88581131. The reversal of 88581120 is 2118588.

It is a super-2 number, since 2×88581120² = 15693229640908800, which contains 22 as substring.

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, 1121241 + ... + 1121319.

Almost surely, 2^88581120 is an apocalyptic number.

88581120 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 88581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145418880).

88581120 is an abundant number, since it is smaller than the sum of its proper divisors (202256640).

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

88581120 is a wasteful number, since it uses less digits than its factorization.

88581120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 33.

The square root of 88581120 is about 9411.7543529355. The cubic root of 88581120 is about 445.7729611868.

The spelling of 88581120 in words is "eighty-eight million, five hundred eighty-one thousand, one hundred twenty".