844896 has 48 divisors (see below), whose sum is σ = 2391984. Its totient is φ = 259584.

The previous prime is 844891. The next prime is 844897. The reversal of 844896 is 698448.

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 (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (844891) by changing a digit.

844896 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 7 ways as a sum of consecutive naturals, for example, 910 + ... + 1586.

It is an arithmetic number, because the mean of its divisors is an integer number (49833).

2⁸⁴⁴⁸⁹⁶ 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 844896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195992).

844896 is an abundant number, since it is smaller than the sum of its proper divisors (1547088).

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

844896 is a wasteful number, since it uses less digits than its factorization.

844896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 695 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 844896 is about 919.1822452593. The cubic root of 844896 is about 94.5368407071.

The spelling of 844896 in words is "eight hundred forty-four thousand, eight hundred ninety-six".