99956800 has 42 divisors (see below), whose sum is σ = 245960138. Its totient is φ = 39982080.

The previous prime is 99956723. The next prime is 99956807. The reversal of 99956800 is 865999.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6718464 + 93238336 = 2592^2 + 9656^2 .

It is not an unprimeable number, because it can be changed into a prime (99956807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29637 + ... + 32836.

Almost surely, 2^99956800 is an apocalyptic number.

It is an amenable number.

99956800 is an abundant number, since it is smaller than the sum of its proper divisors (146003338).

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

99956800 is a wasteful number, since it uses less digits than its factorization.

99956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62495 (or 62480 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 46.

The square root of 99956800 is about 9997.8397666696. The cubic root of 99956800 is about 464.0920348550.

The spelling of 99956800 in words is "ninety-nine million, nine hundred fifty-six thousand, eight hundred".