315015168 has 240 divisors, whose sum is σ = 990874080. Its totient is φ = 88080384.

The previous prime is 315015167. The next prime is 315015191. The reversal of 315015168 is 861510513.

It is not an unprimeable number, because it can be changed into a prime (315015161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10862578 + ... + 10862606.

It is an arithmetic number, because the mean of its divisors is an integer number (4128642).

Almost surely, 2^315015168 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 315015168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495437040).

315015168 is an abundant number, since it is smaller than the sum of its proper divisors (675858912).

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

315015168 is a wasteful number, since it uses less digits than its factorization.

315015168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 315015168 is about 17748.6666541462. Note that the first 4 decimals coincide. The cubic root of 315015168 is about 680.4201325279.

The spelling of 315015168 in words is "three hundred fifteen million, fifteen thousand, one hundred sixty-eight".