868032 has 84 divisors (see below), whose sum is σ = 2734056. Its totient is φ = 261120.

The previous prime is 868019. The next prime is 868033. The reversal of 868032 is 230868.

868032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 867987 and 868005.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 868032.

It is not an unprimeable number, because it can be changed into a prime (868033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6268 + ... + 6404.

2⁸⁶⁸⁰³² 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 868032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367028).

868032 is an abundant number, since it is smaller than the sum of its proper divisors (1866024).

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

868032 is a wasteful number, since it uses less digits than its factorization.

868032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 868032 is about 931.6823493015. The cubic root of 868032 is about 95.3919906781.

It can be divided in two parts, 86 and 8032, that added together give a palindrome (8118).

The spelling of 868032 in words is "eight hundred sixty-eight thousand, thirty-two".