89112900 has 72 divisors (see below), whose sum is σ = 259809760. Its totient is φ = 23581440.

The previous prime is 89112889. The next prime is 89112901. The reversal of 89112900 is 921198.

It is a super-2 number, since 2×89112900² = 15882217892820000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (89112901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40632 + ... + 42768.

Almost surely, 2^89112900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89112900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129904880).

89112900 is an abundant number, since it is smaller than the sum of its proper divisors (170696860).

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

89112900 is a wasteful number, since it uses less digits than its factorization.

89112900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 89112900 is about 9439.9629236560. The cubic root of 89112900 is about 446.6632199432.

It can be divided in two parts, 8911 and 2900, that added together give a palindrome (11811).

The spelling of 89112900 in words is "eighty-nine million, one hundred twelve thousand, nine hundred".