882168 has 64 divisors (see below), whose sum is σ = 2592000. Its totient is φ = 244992.

The previous prime is 882157. The next prime is 882169. The reversal of 882168 is 861288.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9868 + ... + 9956.

It is an arithmetic number, because the mean of its divisors is an integer number (40500).

2⁸⁸²¹⁶⁸ 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 882168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296000).

882168 is an abundant number, since it is smaller than the sum of its proper divisors (1709832).

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

882168 is a wasteful number, since it uses less digits than its factorization.

882168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 160 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The square root of 882168 is about 939.2379890102. The cubic root of 882168 is about 95.9070280452.

The spelling of 882168 in words is "eight hundred eighty-two thousand, one hundred sixty-eight".