844649568 has 144 divisors (see below), whose sum is σ = 2767564800. Its totient is φ = 239355648.

The previous prime is 844649557. The next prime is 844649581. The reversal of 844649568 is 865946448.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254383 + ... + 257681.

It is an arithmetic number, because the mean of its divisors is an integer number (19219200).

Almost surely, 2^844649568 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 844649568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383782400).

844649568 is an abundant number, since it is smaller than the sum of its proper divisors (1922915232).

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

844649568 is a wasteful number, since it uses less digits than its factorization.

844649568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449 (or 3438 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 844649568 is about 29062.8554687938. The cubic root of 844649568 is about 945.2764858240.

The spelling of 844649568 in words is "eight hundred forty-four million, six hundred forty-nine thousand, five hundred sixty-eight".