89032320 has 384 divisors, whose sum is σ = 350859600. Its totient is φ = 20643840.

The previous prime is 89032319. The next prime is 89032331. The reversal of 89032320 is 2323098.

It can be written as a sum of positive squares in 8 ways, for example, as 5419584 + 83612736 = 2328^2 + 9144^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2171500 + ... + 2171540.

Almost surely, 2^89032320 is an apocalyptic number.

89032320 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 89032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175429800).

89032320 is an abundant number, since it is smaller than the sum of its proper divisors (261827280).

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

89032320 is a wasteful number, since it uses less digits than its factorization.

89032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 89032320 is about 9435.6939331456. The cubic root of 89032320 is about 446.5285481718.

The spelling of 89032320 in words is "eighty-nine million, thirty-two thousand, three hundred twenty".