89296032 has 144 divisors (see below), whose sum is σ = 279925632. Its totient is φ = 24837120.

The previous prime is 89296021. The next prime is 89296033. The reversal of 89296032 is 23069298.

It is not an unprimeable number, because it can be changed into a prime (89296033) 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, 192633 + ... + 193095.

It is an arithmetic number, because the mean of its divisors is an integer number (1943928).

Almost surely, 2^89296032 is an apocalyptic number.

89296032 is a gapful number since it is divisible by the number (82) 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 89296032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139962816).

89296032 is an abundant number, since it is smaller than the sum of its proper divisors (190629600).

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

89296032 is a wasteful number, since it uses less digits than its factorization.

89296032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 89296032 is about 9449.6577715809. The cubic root of 89296032 is about 446.9689832289.

The spelling of 89296032 in words is "eighty-nine million, two hundred ninety-six thousand, thirty-two".