99546400 has 36 divisors (see below), whose sum is σ = 243019602. Its totient is φ = 39818240.

The previous prime is 99546371. The next prime is 99546413. The reversal of 99546400 is 464599.

It can be written as a sum of positive squares in 3 ways, for example, as 95335696 + 4210704 = 9764^2 + 2052^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 99546400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61417 + ... + 63016.

Almost surely, 2^99546400 is an apocalyptic number.

It is an amenable number.

99546400 is an abundant number, since it is smaller than the sum of its proper divisors (143473202).

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

99546400 is a wasteful number, since it uses less digits than its factorization.

99546400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124453 (or 124440 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 99546400 is about 9977.2942223831. The cubic root of 99546400 is about 463.4560113134.

The spelling of 99546400 in words is "ninety-nine million, five hundred forty-six thousand, four hundred".