844128 has 48 divisors (see below), whose sum is σ = 2464560. Its totient is φ = 281088.

The previous prime is 844127. The next prime is 844139. The reversal of 844128 is 821448.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (844121) 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, 376 + ... + 1352.

It is an arithmetic number, because the mean of its divisors is an integer number (51345).

2⁸⁴⁴¹²⁸ 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 844128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232280).

844128 is an abundant number, since it is smaller than the sum of its proper divisors (1620432).

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

844128 is a wasteful number, since it uses less digits than its factorization.

844128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 982 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 844128 is about 918.7643876424. The cubic root of 844128 is about 94.5081877511.

The spelling of 844128 in words is "eight hundred forty-four thousand, one hundred twenty-eight".