968032 has 36 divisors (see below), whose sum is σ = 2075220. Its totient is φ = 444288.

The previous prime is 968027. The next prime is 968041. The reversal of 968032 is 230869.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

968032 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 5 ways as a sum of consecutive naturals, for example, 5319 + ... + 5497.

It is an arithmetic number, because the mean of its divisors is an integer number (57645).

2⁹⁶⁸⁰³² 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 968032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037610).

968032 is an abundant number, since it is smaller than the sum of its proper divisors (1107188).

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

968032 is a wasteful number, since it uses less digits than its factorization.

968032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 968032 is about 983.8861722781. The cubic root of 968032 is about 98.9228388998.

It can be divided in two parts, 96 and 8032, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 968032 in words is "nine hundred sixty-eight thousand, thirty-two".