844872 has 64 divisors (see below), whose sum is σ = 2488320. Its totient is φ = 234048.

The previous prime is 844867. The next prime is 844891. The reversal of 844872 is 278448.

844872 is nontrivially palindromic in base 13.

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

It is an unprimeable number.

844872 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, 7843 + ... + 7949.

It is an arithmetic number, because the mean of its divisors is an integer number (38880).

2⁸⁴⁴⁸⁷² 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 844872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244160).

844872 is an abundant number, since it is smaller than the sum of its proper divisors (1643448).

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

844872 is a wasteful number, since it uses less digits than its factorization.

844872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 166 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 844872 is about 919.1691900842. The cubic root of 844872 is about 94.5359455651.

The spelling of 844872 in words is "eight hundred forty-four thousand, eight hundred seventy-two".