89906400 has 108 divisors (see below), whose sum is σ = 317057832. Its totient is φ = 23973120.

The previous prime is 89906381. The next prime is 89906431. The reversal of 89906400 is 460998.

89906400 is a `hidden beast` number, since 8 + 9 + 9 + 0 + 640 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 957 + ... + 13443.

Almost surely, 2^89906400 is an apocalyptic number.

89906400 is a gapful number since it is divisible by the number (80) 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 89906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158528916).

89906400 is an abundant number, since it is smaller than the sum of its proper divisors (227151432).

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

89906400 is a wasteful number, since it uses less digits than its factorization.

89906400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12513 (or 12497 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 89906400 is about 9481.8985440681. The cubic root of 89906400 is about 447.9850654035.

The spelling of 89906400 in words is "eighty-nine million, nine hundred six thousand, four hundred".