844164 has 36 divisors (see below), whose sum is σ = 2162160. Its totient is φ = 277680.

The previous prime is 844163. The next prime is 844183. The reversal of 844164 is 461448.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×844164² = 1425225717792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (844163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4627 + ... + 4805.

It is an arithmetic number, because the mean of its divisors is an integer number (60060).

2⁸⁴⁴¹⁶⁴ is an apocalyptic number.

It is an amenable number.

844164 is an abundant number, since it is smaller than the sum of its proper divisors (1317996).

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

844164 is a wasteful number, since it uses less digits than its factorization.

844164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 315 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 844164 is about 918.7839789635. The cubic root of 844164 is about 94.5095312466.

The spelling of 844164 in words is "eight hundred forty-four thousand, one hundred sixty-four".