99612800 has 96 divisors (see below), whose sum is σ = 281291520. Its totient is φ = 34145280.

The previous prime is 99612797. The next prime is 99612829. The reversal of 99612800 is 821699.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20177 + ... + 24623.

It is an arithmetic number, because the mean of its divisors is an integer number (2930120).

Almost surely, 2^99612800 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 99612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140645760).

99612800 is an abundant number, since it is smaller than the sum of its proper divisors (181678720).

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

99612800 is a wasteful number, since it uses less digits than its factorization.

99612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4478 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 99612800 is about 9980.6212231504. The cubic root of 99612800 is about 463.5590340896.

The spelling of 99612800 in words is "ninety-nine million, six hundred twelve thousand, eight hundred".