89912400 has 120 divisors (see below), whose sum is σ = 297433344. Its totient is φ = 23193600.

The previous prime is 89912393. The next prime is 89912419. The reversal of 89912400 is 421998.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35992 + ... + 38408.

Almost surely, 2^89912400 is an apocalyptic number.

89912400 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 89912400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148716672).

89912400 is an abundant number, since it is smaller than the sum of its proper divisors (207520944).

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

89912400 is a wasteful number, since it uses less digits than its factorization.

89912400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2469 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 89912400 is about 9482.2149311224. The cubic root of 89912400 is about 447.9950307697.

The spelling of 89912400 in words is "eighty-nine million, nine hundred twelve thousand, four hundred".