8248560320 has 336 divisors, whose sum is σ = 26583461184. Its totient is φ = 2372198400.

The previous prime is 8248560283. The next prime is 8248560367. The reversal of 8248560320 is 230658428.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3522350 + ... + 3524690.

It is an arithmetic number, because the mean of its divisors is an integer number (79117444).

Almost surely, 2^8248560320 is an apocalyptic number.

8248560320 is a gapful number since it is divisible by the number (80) 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 8248560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13291730592).

8248560320 is an abundant number, since it is smaller than the sum of its proper divisors (18334900864).

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

8248560320 is a wasteful number, since it uses less digits than its factorization.

8248560320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 8248560320 is about 90821.5850995786. The cubic root of 8248560320 is about 2020.5024662526.

The spelling of 8248560320 in words is "eight billion, two hundred forty-eight million, five hundred sixty thousand, three hundred twenty".