99548800 has 96 divisors (see below), whose sum is σ = 264943980. Its totient is φ = 36741120.

The previous prime is 99548791. The next prime is 99548803. The reversal of 99548800 is 884599.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1617984 + 97930816 = 1272^2 + 9896^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99548803) 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, 40404 + ... + 42796.

Almost surely, 2^99548800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132471990).

99548800 is an abundant number, since it is smaller than the sum of its proper divisors (165395180).

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

99548800 is a wasteful number, since it uses less digits than its factorization.

99548800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The square root of 99548800 is about 9977.4144947476. The cubic root of 99548800 is about 463.4597358261.

The spelling of 99548800 in words is "ninety-nine million, five hundred forty-eight thousand, eight hundred".