89232 has 60 divisors (see below), whose sum is σ = 272304. Its totient is φ = 24960.

The previous prime is 89231. The next prime is 89237. The reversal of 89232 is 23298.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between even and odd.

Its product of digits (864) is a multiple of the sum of its prime factors (48).

It is not an unprimeable number, because it can be changed into a prime (89231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6858 + ... + 6870.

2⁸⁹²³² 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 89232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136152).

89232 is an abundant number, since it is smaller than the sum of its proper divisors (183072).

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

89232 is a wasteful number, since it uses less digits than its factorization.

89232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 29 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 89232 is about 298.7172576200. The cubic root of 89232 is about 44.6862120841.

The spelling of 89232 in words is "eighty-nine thousand, two hundred thirty-two".