8108248320 has 216 divisors, whose sum is σ = 28127152872. Its totient is φ = 2156544000.

The previous prime is 8108248297. The next prime is 8108248331. The reversal of 8108248320 is 238428018.

It is a happy number.

8108248320 is a `hidden beast` number, since 81 + 0 + 82 + 483 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 85821696 + 8022426624 = 9264^2 + 89568^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 6231670 + ... + 6232970.

Almost surely, 2^8108248320 is an apocalyptic number.

8108248320 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 8108248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14063576436).

8108248320 is an abundant number, since it is smaller than the sum of its proper divisors (20018904552).

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

8108248320 is a wasteful number, since it uses less digits than its factorization.

8108248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8108248320 is about 90045.8123401638. The cubic root of 8108248320 is about 2008.9803099974.

The spelling of 8108248320 in words is "eight billion, one hundred eight million, two hundred forty-eight thousand, three hundred twenty".