8315245120 has 504 divisors, whose sum is σ = 26411172984. Its totient is φ = 2471067648.

The previous prime is 8315245111. The next prime is 8315245151. The reversal of 8315245120 is 215425138.

It can be written as a sum of positive squares in 4 ways, for example, as 327175744 + 7988069376 = 18088^2 + 89376^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73586184 + ... + 73586296.

It is an arithmetic number, because the mean of its divisors is an integer number (52403121).

Almost surely, 2^8315245120 is an apocalyptic number.

8315245120 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 8315245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13205586492).

8315245120 is an abundant number, since it is smaller than the sum of its proper divisors (18095927864).

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

8315245120 is a wasteful number, since it uses less digits than its factorization.

8315245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 8315245120 is about 91187.9658726962. The cubic root of 8315245120 is about 2025.9327203485.

The spelling of 8315245120 in words is "eight billion, three hundred fifteen million, two hundred forty-five thousand, one hundred twenty".