89924400 has 90 divisors (see below), whose sum is σ = 312075140. Its totient is φ = 23978880.

The previous prime is 89924399. The next prime is 89924453. The reversal of 89924400 is 442998.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8890 + ... + 16089.

Almost surely, 2^89924400 is an apocalyptic number.

89924400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89924400 is an abundant number, since it is smaller than the sum of its proper divisors (222150740).

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

89924400 is a wasteful number, since it uses less digits than its factorization.

89924400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25003 (or 24989 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 89924400 is about 9482.8476735630. The cubic root of 89924400 is about 448.0149601722.

The spelling of 89924400 in words is "eighty-nine million, nine hundred twenty-four thousand, four hundred".