844097344 has 56 divisors (see below), whose sum is σ = 1779056640. Its totient is φ = 396232704.

The previous prime is 844097329. The next prime is 844097351. The reversal of 844097344 is 443790448.

844097344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×844097344² = 1425000652295708672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 844097344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134337 + ... + 140479.

Almost surely, 2^844097344 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 844097344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889528320).

844097344 is an abundant number, since it is smaller than the sum of its proper divisors (934959296).

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

844097344 is a wasteful number, since it uses less digits than its factorization.

844097344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6287 (or 6277 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The square root of 844097344 is about 29053.3534036951. The cubic root of 844097344 is about 945.0704366001.

The spelling of 844097344 in words is "eight hundred forty-four million, ninety-seven thousand, three hundred forty-four".