89236224 has 216 divisors, whose sum is σ = 321414912. Its totient is φ = 23132160.

The previous prime is 89236207. The next prime is 89236237. The reversal of 89236224 is 42263298.

89236224 is a `hidden beast` number, since 8 + 9 + 23 + 622 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

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, 177157 + ... + 177659.

It is an arithmetic number, because the mean of its divisors is an integer number (1488032).

Almost surely, 2^89236224 is an apocalyptic number.

89236224 is a gapful number since it is divisible by the number (84) 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 89236224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160707456).

89236224 is an abundant number, since it is smaller than the sum of its proper divisors (232178688).

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

89236224 is a wasteful number, since it uses less digits than its factorization.

89236224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 526 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 89236224 is about 9446.4926824722. The cubic root of 89236224 is about 446.8691718085.

The spelling of 89236224 in words is "eighty-nine million, two hundred thirty-six thousand, two hundred twenty-four".