88904800 has 72 divisors (see below), whose sum is σ = 228501000. Its totient is φ = 33684480.

The previous prime is 88904791. The next prime is 88904801. The reversal of 88904800 is 840988.

It is a self number, because there is not a number n which added to its sum of digits gives 88904800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88904801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12276 + ... + 18124.

It is an arithmetic number, because the mean of its divisors is an integer number (3173625).

Almost surely, 2^88904800 is an apocalyptic number.

88904800 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 88904800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114250500).

88904800 is an abundant number, since it is smaller than the sum of its proper divisors (139596200).

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

88904800 is a wasteful number, since it uses less digits than its factorization.

88904800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5888 (or 5875 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 88904800 is about 9428.9341921555. The cubic root of 88904800 is about 446.3152603546.

The spelling of 88904800 in words is "eighty-eight million, nine hundred four thousand, eight hundred".