296032 has 36 divisors (see below), whose sum is σ = 658476. Its totient is φ = 129920.

The previous prime is 296027. The next prime is 296041. The reversal of 296032 is 230692.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 295994 and 296012.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 296032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10194 + ... + 10222.

It is an arithmetic number, because the mean of its divisors is an integer number (18291).

2²⁹⁶⁰³² is an apocalyptic number.

296032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 296032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329238).

296032 is an abundant number, since it is smaller than the sum of its proper divisors (362444).

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

296032 is a wasteful number, since it uses less digits than its factorization.

296032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 296032 is about 544.0882281395. The cubic root of 296032 is about 66.6468385477.

Multiplying 296032 by its sum of digits (22), we get a square (6512704 = 2552²).

296032 divided by its sum of digits (22) gives a square (13456 = 116²).

It can be divided in two parts, 2960 and 32, that added together give a palindrome (2992).

The spelling of 296032 in words is "two hundred ninety-six thousand, thirty-two".