88568400 has 120 divisors (see below), whose sum is σ = 296141760. Its totient is φ = 22584320.

The previous prime is 88568399. The next prime is 88568413. The reversal of 88568400 is 486588.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×88568400² = 15688722957120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25996 + ... + 29204.

It is an arithmetic number, because the mean of its divisors is an integer number (2467848).

Almost surely, 2^88568400 is an apocalyptic number.

88568400 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 88568400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148070880).

88568400 is an abundant number, since it is smaller than the sum of its proper divisors (207573360).

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

88568400 is a wasteful number, since it uses less digits than its factorization.

88568400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 88568400 is about 9411.0785779314. The cubic root of 88568400 is about 445.7516229171.

The spelling of 88568400 in words is "eighty-eight million, five hundred sixty-eight thousand, four hundred".