89286912 has 216 divisors, whose sum is σ = 303558528. Its totient is φ = 24883200.

The previous prime is 89286829. The next prime is 89286931. The reversal of 89286912 is 21968298.

It is a nude number because it is divisible by every one of its digits.

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, 329337 + ... + 329607.

Almost surely, 2^89286912 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 89286912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151779264).

89286912 is an abundant number, since it is smaller than the sum of its proper divisors (214271616).

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

89286912 is a wasteful number, since it uses less digits than its factorization.

89286912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 300 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 89286912 is about 9449.1752021010. The cubic root of 89286912 is about 446.9537660693.

The spelling of 89286912 in words is "eighty-nine million, two hundred eighty-six thousand, nine hundred twelve".