882912 has 48 divisors (see below), whose sum is σ = 2458512. Its totient is φ = 276480.

The previous prime is 882907. The next prime is 882913. The reversal of 882912 is 219288.

882912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 882912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1362 + ... + 1902.

It is an arithmetic number, because the mean of its divisors is an integer number (51219).

2⁸⁸²⁹¹² 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 882912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229256).

882912 is an abundant number, since it is smaller than the sum of its proper divisors (1575600).

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

882912 is a wasteful number, since it uses less digits than its factorization.

882912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 563 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 882912 is about 939.6339712888. The cubic root of 882912 is about 95.9339823890.

The spelling of 882912 in words is "eight hundred eighty-two thousand, nine hundred twelve".