99304800 has 288 divisors, whose sum is σ = 386975232. Its totient is φ = 21626880.

The previous prime is 99304783. The next prime is 99304813. The reversal of 99304800 is 840399.

It is a super-2 number, since 2×99304800² = 19722886606080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386272 + ... + 386528.

It is an arithmetic number, because the mean of its divisors is an integer number (1343664).

Almost surely, 2^99304800 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 99304800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193487616).

99304800 is an abundant number, since it is smaller than the sum of its proper divisors (287670432).

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

99304800 is a wasteful number, since it uses less digits than its factorization.

99304800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 99304800 is about 9965.1793762079. The cubic root of 99304800 is about 463.0807702884.

The spelling of 99304800 in words is "ninety-nine million, three hundred four thousand, eight hundred".