844116 has 48 divisors (see below), whose sum is σ = 2427264. Its totient is φ = 222336.

The previous prime is 844111. The next prime is 844117. The reversal of 844116 is 611448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (844111) by changing a digit.

844116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706 + ... + 1478.

It is an arithmetic number, because the mean of its divisors is an integer number (50568).

2⁸⁴⁴¹¹⁶ 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 844116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213632).

844116 is an abundant number, since it is smaller than the sum of its proper divisors (1583148).

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

844116 is a wasteful number, since it uses less digits than its factorization.

844116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 798 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 844116 is about 918.7578571093. The cubic root of 844116 is about 94.5077399108.

Subtracting from 844116 its product of digits (768), we obtain a palindrome (843348).

It can be divided in two parts, 84 and 4116, that multiplied together give a square (345744 = 588²).

The spelling of 844116 in words is "eight hundred forty-four thousand, one hundred sixteen".