89212800 has 96 divisors (see below), whose sum is σ = 293876280. Its totient is φ = 23787520.

The previous prime is 89212769. The next prime is 89212861. The reversal of 89212800 is 821298.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 4954 + ... + 14246.

Almost surely, 2^89212800 is an apocalyptic number.

89212800 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 89212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146938140).

89212800 is an abundant number, since it is smaller than the sum of its proper divisors (204663480).

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

89212800 is a wasteful number, since it uses less digits than its factorization.

89212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9320 (or 9303 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 89212800 is about 9445.2527758658. The cubic root of 89212800 is about 446.8300681836.

The spelling of 89212800 in words is "eighty-nine million, two hundred twelve thousand, eight hundred".