9932832 has 144 divisors (see below), whose sum is σ = 34856640. Its totient is φ = 2612736.

The previous prime is 9932821. The next prime is 9932833. The reversal of 9932832 is 2382399.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×9932832² = 197322303080448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9932833) 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, 26019 + ... + 26397.

It is an arithmetic number, because the mean of its divisors is an integer number (242060).

Almost surely, 2^9932832 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 9932832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428320).

9932832 is an abundant number, since it is smaller than the sum of its proper divisors (24923808).

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

9932832 is a wasteful number, since it uses less digits than its factorization.

9932832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 404 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 9932832 is about 3151.6395733015. The cubic root of 9932832 is about 214.9600214110.

The spelling of 9932832 in words is "nine million, nine hundred thirty-two thousand, eight hundred thirty-two".