89080032 has 48 divisors (see below), whose sum is σ = 236008080. Its totient is φ = 29417472.

The previous prime is 89080027. The next prime is 89080039. The reversal of 89080032 is 23008098.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×89080032² = 15870504202242048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89080039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6208 + ... + 14720.

It is an arithmetic number, because the mean of its divisors is an integer number (4916835).

Almost surely, 2^89080032 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 89080032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118004040).

89080032 is an abundant number, since it is smaller than the sum of its proper divisors (146928048).

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

89080032 is a wasteful number, since it uses less digits than its factorization.

89080032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8635 (or 8627 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 89080032 is about 9438.2218664323. The cubic root of 89080032 is about 446.6082981080.

The spelling of 89080032 in words is "eighty-nine million, eighty thousand, thirty-two".