99379200 has 144 divisors (see below), whose sum is σ = 329041440. Its totient is φ = 26460160.

The previous prime is 99379169. The next prime is 99379213. The reversal of 99379200 is 297399.

It is a congruent number.

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, 153277 + ... + 153923.

It is an arithmetic number, because the mean of its divisors is an integer number (2285010).

Almost surely, 2^99379200 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 99379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164520720).

99379200 is an abundant number, since it is smaller than the sum of its proper divisors (229662240).

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

99379200 is a wasteful number, since it uses less digits than its factorization.

99379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 657 counting only the distinct ones).

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

The square root of 99379200 is about 9968.9116758049. The cubic root of 99379200 is about 463.1963894350.

The spelling of 99379200 in words is "ninety-nine million, three hundred seventy-nine thousand, two hundred".