8832 has 32 divisors (see below), whose sum is σ = 24480. Its totient is φ = 2816.

The previous prime is 8831. The next prime is 8837. The reversal of 8832 is 2388.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a plaindrome in base 11.

It is a nialpdrome in base 10.

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 8799 and 8808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 373 + ... + 395.

It is an arithmetic number, because the mean of its divisors is an integer number (765).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12240).

8832 is an abundant number, since it is smaller than the sum of its proper divisors (15648).

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

8832 is a wasteful number, since it uses less digits than its factorization.

8832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 28 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 8832 is about 93.9787209958. The cubic root of 8832 is about 20.6705970095.

Adding to 8832 its product of digits (384), we get a square (9216 = 96²).

Subtracting from 8832 its product of digits (384), we obtain a palindrome (8448).

It can be divided in two parts, 88 and 32, that added together give a triangular number (120 = T₁₅).

The spelling of 8832 in words is "eight thousand, eight hundred thirty-two".