315096768 has 168 divisors, whose sum is σ = 1093146912. Its totient is φ = 84713472.

The previous prime is 315096739. The next prime is 315096823. The reversal of 315096768 is 867690513.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 66246 + ... + 70842.

Almost surely, 2^315096768 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 315096768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546573456).

315096768 is an abundant number, since it is smaller than the sum of its proper divisors (778050144).

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

315096768 is a wasteful number, since it uses less digits than its factorization.

315096768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4639 (or 4626 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 315096768 is about 17750.9652695283. The cubic root of 315096768 is about 680.4788783652.

The spelling of 315096768 in words is "three hundred fifteen million, ninety-six thousand, seven hundred sixty-eight".