99892800 has 252 divisors, whose sum is σ = 406172416. Its totient is φ = 22809600.

The previous prime is 99892789. The next prime is 99892801. The reversal of 99892800 is 829899.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (99892801) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 100305 + ... + 101295.

Almost surely, 2^99892800 is an apocalyptic number.

99892800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203086208).

99892800 is an abundant number, since it is smaller than the sum of its proper divisors (306279616).

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

99892800 is a wasteful number, since it uses less digits than its factorization.

99892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 99892800 is about 9994.6385627495. The cubic root of 99892800 is about 463.9929646179.

The spelling of 99892800 in words is "ninety-nine million, eight hundred ninety-two thousand, eight hundred".