315117768 has 64 divisors (see below), whose sum is σ = 904412160. Its totient is φ = 89626176.

The previous prime is 315117767. The next prime is 315117773. The reversal of 315117768 is 867711513.

It is not an unprimeable number, because it can be changed into a prime (315117767) 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, 34005 + ... + 42267.

It is an arithmetic number, because the mean of its divisors is an integer number (14131440).

Almost surely, 2^315117768 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 315117768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452206080).

315117768 is an abundant number, since it is smaller than the sum of its proper divisors (589294392).

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

315117768 is a wasteful number, since it uses less digits than its factorization.

315117768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8506 (or 8502 counting only the distinct ones).

The product of its digits is 35280, while the sum is 39.

The square root of 315117768 is about 17751.5567768013. The cubic root of 315117768 is about 680.4939951383.

The spelling of 315117768 in words is "three hundred fifteen million, one hundred seventeen thousand, seven hundred sixty-eight".