844066944 has 288 divisors, whose sum is σ = 2977930800. Its totient is φ = 228178944.

The previous prime is 844066913. The next prime is 844066961. The reversal of 844066944 is 449660448.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 844066944.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1072119 + ... + 1072905.

Almost surely, 2^844066944 is an apocalyptic number.

844066944 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 844066944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488965400).

844066944 is an abundant number, since it is smaller than the sum of its proper divisors (2133863856).

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

844066944 is a wasteful number, since it uses less digits than its factorization.

844066944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 844066944 is about 29052.8302235772. The cubic root of 844066944 is about 945.0590909552.

The spelling of 844066944 in words is "eight hundred forty-four million, sixty-six thousand, nine hundred forty-four".