99902400 has 168 divisors, whose sum is σ = 353196144. Its totient is φ = 24576000.

The previous prime is 99902393. The next prime is 99902441. The reversal of 99902400 is 420999.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61600 + ... + 63200.

It is an arithmetic number, because the mean of its divisors is an integer number (2102358).

Almost surely, 2^99902400 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 99902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176598072).

99902400 is an abundant number, since it is smaller than the sum of its proper divisors (253293744).

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

99902400 is a wasteful number, since it uses less digits than its factorization.

99902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 99902400 is about 9995.1188086986. The cubic root of 99902400 is about 464.0078278505.

The spelling of 99902400 in words is "ninety-nine million, nine hundred two thousand, four hundred".