844147656 has 320 divisors, whose sum is σ = 2843596800. Its totient is φ = 230947200.

The previous prime is 844147649. The next prime is 844147657. The reversal of 844147656 is 656741448.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (844147657) 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 79 ways as a sum of consecutive naturals, for example, 3114801 + ... + 3115071.

It is an arithmetic number, because the mean of its divisors is an integer number (8886240).

Almost surely, 2^844147656 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 844147656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421798400).

844147656 is an abundant number, since it is smaller than the sum of its proper divisors (1999449144).

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

844147656 is a wasteful number, since it uses less digits than its factorization.

844147656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 329 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 844147656 is about 29054.2192460923. The cubic root of 844147656 is about 945.0892130439.

The spelling of 844147656 in words is "eight hundred forty-four million, one hundred forty-seven thousand, six hundred fifty-six".