8248090760 has 256 divisors, whose sum is σ = 24192000000. Its totient is φ = 2457713664.

The previous prime is 8248090717. The next prime is 8248090769. The reversal of 8248090760 is 670908428.

It is a Cunningham number, because it is equal to 90819²-1.

It is not an unprimeable number, because it can be changed into a prime (8248090769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16528991 + ... + 16529489.

It is an arithmetic number, because the mean of its divisors is an integer number (94500000).

Almost surely, 2^8248090760 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 8248090760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096000000).

8248090760 is an abundant number, since it is smaller than the sum of its proper divisors (15943909240).

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

8248090760 is a wasteful number, since it uses less digits than its factorization.

8248090760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 8248090760 is about 90818.9999944945. Note that the first 5 decimals coincide. The cubic root of 8248090760 is about 2020.4641256167.

The spelling of 8248090760 in words is "eight billion, two hundred forty-eight million, ninety thousand, seven hundred sixty".