8290819944 has 96 divisors (see below), whose sum is σ = 24712646400. Its totient is φ = 2490109440.

The previous prime is 8290819931. The next prime is 8290819967. The reversal of 8290819944 is 4499180928.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43177 + ... + 135815.

It is an arithmetic number, because the mean of its divisors is an integer number (257423400).

Almost surely, 2^8290819944 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 8290819944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12356323200).

8290819944 is an abundant number, since it is smaller than the sum of its proper divisors (16421826456).

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

8290819944 is a wasteful number, since it uses less digits than its factorization.

8290819944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92775 (or 92768 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 8290819944 is about 91053.9397500185. The cubic root of 8290819944 is about 2023.9471186848.

The spelling of 8290819944 in words is "eight billion, two hundred ninety million, eight hundred nineteen thousand, nine hundred forty-four".