8144844 has 48 divisors (see below), whose sum is σ = 20227200. Its totient is φ = 2543616.

The previous prime is 8144839. The next prime is 8144849. The reversal of 8144844 is 4484418.

It is a happy number.

8144844 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (8144839) and next prime (8144849).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8144849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31564 + ... + 31820.

It is an arithmetic number, because the mean of its divisors is an integer number (421400).

Almost surely, 2^8144844 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 8144844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10113600).

8144844 is an abundant number, since it is smaller than the sum of its proper divisors (12082356).

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

8144844 is a wasteful number, since it uses less digits than its factorization.

8144844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 420 counting only the distinct ones).

The product of its digits is 16384, while the sum is 33.

The square root of 8144844 is about 2853.9173078420. The cubic root of 8144844 is about 201.1998210866.

The spelling of 8144844 in words is "eight million, one hundred forty-four thousand, eight hundred forty-four".