89918400 has 336 divisors, whose sum is σ = 349227648. Its totient is φ = 19968000.

The previous prime is 89918377. The next prime is 89918441. The reversal of 89918400 is 481998.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 686335 + ... + 686465.

It is an arithmetic number, because the mean of its divisors is an integer number (1039368).

Almost surely, 2^89918400 is an apocalyptic number.

89918400 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 89918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174613824).

89918400 is an abundant number, since it is smaller than the sum of its proper divisors (259309248).

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

89918400 is a wasteful number, since it uses less digits than its factorization.

89918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 89918400 is about 9482.5313076203. The cubic root of 89918400 is about 448.0049956926.

It can be divided in two parts, 8991 and 8400, that added together give a triangular number (17391 = T₁₈₆).

The spelling of 89918400 in words is "eighty-nine million, nine hundred eighteen thousand, four hundred".