882368 has 28 divisors (see below), whose sum is σ = 1856232. Its totient is φ = 414720.

The previous prime is 882367. The next prime is 882377. The reversal of 882368 is 863288.

882368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (882367) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 683 + ... + 1493.

It is an arithmetic number, because the mean of its divisors is an integer number (66294).

2⁸⁸²³⁶⁸ 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 882368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928116).

882368 is an abundant number, since it is smaller than the sum of its proper divisors (973864).

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

882368 is a wasteful number, since it uses less digits than its factorization.

882368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 830 counting only the distinct ones).

The product of its digits is 18432, while the sum is 35.

The square root of 882368 is about 939.3444522645. The cubic root of 882368 is about 95.9142753255.

The spelling of 882368 in words is "eight hundred eighty-two thousand, three hundred sixty-eight".