315668000 has 96 divisors (see below), whose sum is σ = 790760880. Its totient is φ = 123801600.

The previous prime is 315667997. The next prime is 315668029. The reversal of 315668000 is 866513.

It can be written as a sum of positive squares in 8 ways, for example, as 6330256 + 309337744 = 2516^2 + 17588^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211256 + ... + 212744.

Almost surely, 2^315668000 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 315668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395380440).

315668000 is an abundant number, since it is smaller than the sum of its proper divisors (475092880).

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

315668000 is a wasteful number, since it uses less digits than its factorization.

315668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 315668000 is about 17767.0481510013. The cubic root of 315668000 is about 680.8898385220.

The spelling of 315668000 in words is "three hundred fifteen million, six hundred sixty-eight thousand".