99992400 has 120 divisors (see below), whose sum is σ = 323818560. Its totient is φ = 26373120.

The previous prime is 99992381. The next prime is 99992401. The reversal of 99992400 is 429999.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99992401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123196 + ... + 124004.

It is an arithmetic number, because the mean of its divisors is an integer number (2698488).

Almost surely, 2^99992400 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 99992400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161909280).

99992400 is an abundant number, since it is smaller than the sum of its proper divisors (223826160).

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

99992400 is a wasteful number, since it uses less digits than its factorization.

99992400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 99992400 is about 9999.6199927797. The cubic root of 99992400 is about 464.1471243717.

The spelling of 99992400 in words is "ninety-nine million, nine hundred ninety-two thousand, four hundred".