89868800 has 240 divisors, whose sum is σ = 274000320. Its totient is φ = 28508160.

The previous prime is 89868781. The next prime is 89868811. The reversal of 89868800 is 886898.

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, 1523171 + ... + 1523229.

It is an arithmetic number, because the mean of its divisors is an integer number (1141668).

Almost surely, 2^89868800 is an apocalyptic number.

89868800 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 89868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137000160).

89868800 is an abundant number, since it is smaller than the sum of its proper divisors (184131520).

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

89868800 is a wasteful number, since it uses less digits than its factorization.

89868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 47.

The square root of 89868800 is about 9479.9156114387. The cubic root of 89868800 is about 447.9226056781.

The spelling of 89868800 in words is "eighty-nine million, eight hundred sixty-eight thousand, eight hundred".