89976800 has 72 divisors (see below), whose sum is σ = 224423136. Its totient is φ = 35210240.

The previous prime is 89976791. The next prime is 89976827. The reversal of 89976800 is 867998.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36404 + ... + 38796.

It is an arithmetic number, because the mean of its divisors is an integer number (3116988).

Almost surely, 2^89976800 is an apocalyptic number.

89976800 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 89976800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112211568).

89976800 is an abundant number, since it is smaller than the sum of its proper divisors (134446336).

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

89976800 is a wasteful number, since it uses less digits than its factorization.

89976800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 47.

The square root of 89976800 is about 9485.6101543338. The cubic root of 89976800 is about 448.1019644613.

The spelling of 89976800 in words is "eighty-nine million, nine hundred seventy-six thousand, eight hundred".