844864 has 28 divisors (see below), whose sum is σ = 1721104. Its totient is φ = 411264.

The previous prime is 844861. The next prime is 844867. The reversal of 844864 is 468448.

It is an interprime number because it is at equal distance from previous prime (844861) and next prime (844867).

It is not an unprimeable number, because it can be changed into a prime (844861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2599 + ... + 2905.

It is an arithmetic number, because the mean of its divisors is an integer number (61468).

2⁸⁴⁴⁸⁶⁴ 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 844864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860552).

844864 is an abundant number, since it is smaller than the sum of its proper divisors (876240).

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

844864 is a wasteful number, since it uses less digits than its factorization.

With its successor (844865) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (352).

844864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 352 counting only the distinct ones).

The product of its digits is 24576, while the sum is 34.

The square root of 844864 is about 919.1648383179. The cubic root of 844864 is about 94.5356471807.

The spelling of 844864 in words is "eight hundred forty-four thousand, eight hundred sixty-four".