88586880 has 256 divisors, whose sum is σ = 306979200. Its totient is φ = 21676032.

The previous prime is 88586879. The next prime is 88586893. The reversal of 88586880 is 8868588.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2060139 + ... + 2060181.

Almost surely, 2^88586880 is an apocalyptic number.

88586880 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 88586880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153489600).

88586880 is an abundant number, since it is smaller than the sum of its proper divisors (218392320).

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

88586880 is a wasteful number, since it uses less digits than its factorization.

88586880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 51.

The square root of 88586880 is about 9412.0603482978. The cubic root of 88586880 is about 445.7826231276.

The spelling of 88586880 in words is "eighty-eight million, five hundred eighty-six thousand, eight hundred eighty".