99793200 has 120 divisors (see below), whose sum is σ = 344314768. Its totient is φ = 24560640.

The previous prime is 99793193. The next prime is 99793231. The reversal of 99793200 is 239799.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12402 + ... + 18798.

Almost surely, 2^99793200 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 99793200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172157384).

99793200 is an abundant number, since it is smaller than the sum of its proper divisors (244521568).

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

99793200 is a wasteful number, since it uses less digits than its factorization.

99793200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6431 (or 6420 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 39.

The square root of 99793200 is about 9989.6546486853. The cubic root of 99793200 is about 463.8387023580.

The spelling of 99793200 in words is "ninety-nine million, seven hundred ninety-three thousand, two hundred".