99893200 has 120 divisors (see below), whose sum is σ = 266250816. Its totient is φ = 35712000.

The previous prime is 99893161. The next prime is 99893249. The reversal of 99893200 is 239899.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 321045 + ... + 321355.

Almost surely, 2^99893200 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 99893200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133125408).

99893200 is an abundant number, since it is smaller than the sum of its proper divisors (166357616).

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

99893200 is a wasteful number, since it uses less digits than its factorization.

99893200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The square root of 99893200 is about 9994.6585734581. The cubic root of 99893200 is about 463.9935839382.

The spelling of 99893200 in words is "ninety-nine million, eight hundred ninety-three thousand, two hundred".