884112 has 40 divisors (see below), whose sum is σ = 2318304. Its totient is φ = 290304.

The previous prime is 884111. The next prime is 884129. The reversal of 884112 is 211488.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (884111) 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, 5343 + ... + 5505.

2⁸⁸⁴¹¹² 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 884112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159152).

884112 is an abundant number, since it is smaller than the sum of its proper divisors (1434192).

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

884112 is a wasteful number, since it uses less digits than its factorization.

884112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

The square root of 884112 is about 940.2723009852. The cubic root of 884112 is about 95.9774252474.

Subtracting from 884112 its product of digits (512), we obtain a square (883600 = 940²).

The spelling of 884112 in words is "eight hundred eighty-four thousand, one hundred twelve".