882904 has 32 divisors (see below), whose sum is σ = 1843200. Its totient is φ = 393120.

The previous prime is 882883. The next prime is 882907. The reversal of 882904 is 409288.

882904 is a modest number, since divided by 2904 gives 88 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6889 + ... + 7015.

It is an arithmetic number, because the mean of its divisors is an integer number (57600).

2⁸⁸²⁹⁰⁴ 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 882904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921600).

882904 is an abundant number, since it is smaller than the sum of its proper divisors (960296).

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

882904 is a wasteful number, since it uses less digits than its factorization.

882904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 882904 is about 939.6297143024. The cubic root of 882904 is about 95.9336926379.

It can be divided in two parts, 88 and 2904, that multiplied together give a palindrome (255552).

The spelling of 882904 in words is "eight hundred eighty-two thousand, nine hundred four".