844086096 has 400 divisors, whose sum is σ = 3024806400. Its totient is φ = 221895936.

The previous prime is 844086041. The next prime is 844086101. The reversal of 844086096 is 690680448.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10169671 + ... + 10169753.

It is an arithmetic number, because the mean of its divisors is an integer number (7562016).

Almost surely, 2^844086096 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 844086096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512403200).

844086096 is an abundant number, since it is smaller than the sum of its proper divisors (2180720304).

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

844086096 is a wasteful number, since it uses less digits than its factorization.

844086096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 844086096 is about 29053.1598281495. The cubic root of 844086096 is about 945.0662387432.

The spelling of 844086096 in words is "eight hundred forty-four million, eighty-six thousand, ninety-six".