99532800 has 270 divisors, whose sum is σ = 369742828. Its totient is φ = 26542080.

The previous prime is 99532787. The next prime is 99532801. The reversal of 99532800 is 823599.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (6!)² ⋅ 4! ⋅ (2!)³.

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (99532801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19906558 + ... + 19906562.

Almost surely, 2^99532800 is an apocalyptic number.

99532800 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 99532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184871414).

99532800 is an abundant number, since it is smaller than the sum of its proper divisors (270210028).

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

99532800 is an frugal number, since it uses more digits than its factorization.

99532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 99532800 is about 9976.6126515967. The cubic root of 99532800 is about 463.4349046107.

The spelling of 99532800 in words is "ninety-nine million, five hundred thirty-two thousand, eight hundred".