832032 has 72 divisors (see below), whose sum is σ = 2476656. Its totient is φ = 274752.

The previous prime is 832003. The next prime is 832063. The reversal of 832032 is 230238.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 831996 and 832014.

It is an unprimeable number.

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, 7723 + ... + 7829.

It is an arithmetic number, because the mean of its divisors is an integer number (34398).

2⁸³²⁰³² 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 832032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238328).

832032 is an abundant number, since it is smaller than the sum of its proper divisors (1644624).

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

832032 is a wasteful number, since it uses less digits than its factorization.

832032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 832032 is about 912.1578810710. The cubic root of 832032 is about 94.0545933060.

Subtracting from 832032 its product of nonzero digits (288), we obtain a square (831744 = 912²).

The spelling of 832032 in words is "eight hundred thirty-two thousand, thirty-two".