99388800 has 576 divisors, whose sum is σ = 443944800. Its totient is φ = 20643840.

The previous prime is 99388799. The next prime is 99388813. The reversal of 99388800 is 888399.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3427186 + ... + 3427214.

Almost surely, 2^99388800 is an apocalyptic number.

99388800 is a gapful number since it is divisible by the number (90) 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 99388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221972400).

99388800 is an abundant number, since it is smaller than the sum of its proper divisors (344556000).

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

99388800 is a wasteful number, since it uses less digits than its factorization.

99388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 99388800 is about 9969.3931610705. The cubic root of 99388800 is about 463.2113038307.

The spelling of 99388800 in words is "ninety-nine million, three hundred eighty-eight thousand, eight hundred".