882864 has 30 divisors (see below), whose sum is σ = 2471196. Its totient is φ = 294240.

The previous prime is 882863. The next prime is 882877. The reversal of 882864 is 468288.

882864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (882863) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2922 + ... + 3209.

2⁸⁸²⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

882864 is an abundant number, since it is smaller than the sum of its proper divisors (1588332).

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

882864 is a wasteful number, since it uses less digits than its factorization.

882864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6145 (or 6136 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 882864 is about 939.6084290810. The cubic root of 882864 is about 95.9322438561.

The spelling of 882864 in words is "eight hundred eighty-two thousand, eight hundred sixty-four".