89832 has 32 divisors (see below), whose sum is σ = 237600. Its totient is φ = 28224.

The previous prime is 89821. The next prime is 89833. The reversal of 89832 is 23898.

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

It is a self number, because there is not a number n which added to its sum of digits gives 89832.

It is not an unprimeable number, because it can be changed into a prime (89833) by changing a digit.

89832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 358 + ... + 554.

It is an arithmetic number, because the mean of its divisors is an integer number (7425).

2⁸⁹⁸³² 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 89832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118800).

89832 is an abundant number, since it is smaller than the sum of its proper divisors (147768).

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

89832 is a wasteful number, since it uses less digits than its factorization.

89832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

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

The square root of 89832 is about 299.7198692112. The cubic root of 89832 is about 44.7861458011.

The spelling of 89832 in words is "eighty-nine thousand, eight hundred thirty-two".