89954400 has 144 divisors (see below), whose sum is σ = 301011984. Its totient is φ = 23316480.

The previous prime is 89954393. The next prime is 89954413. The reversal of 89954400 is 445998.

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 23 ways as a sum of consecutive naturals, for example, 88294 + ... + 89306.

It is an arithmetic number, because the mean of its divisors is an integer number (2090361).

Almost surely, 2^89954400 is an apocalyptic number.

89954400 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 89954400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150505992).

89954400 is an abundant number, since it is smaller than the sum of its proper divisors (211057584).

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

89954400 is a wasteful number, since it uses less digits than its factorization.

89954400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 89954400 is about 9484.4293449843. The cubic root of 89954400 is about 448.0647759228.

The spelling of 89954400 in words is "eighty-nine million, nine hundred fifty-four thousand, four hundred".