315160000 has 70 divisors (see below), whose sum is σ = 781593560. Its totient is φ = 126048000.

The previous prime is 315159967. The next prime is 315160003. The reversal of 315160000 is 61513.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315160003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 36061 + ... + 43939.

Almost surely, 2^315160000 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 315160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390796780).

315160000 is an abundant number, since it is smaller than the sum of its proper divisors (466433560).

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

315160000 is an frugal number, since it uses more digits than its factorization.

315160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7911 (or 7886 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 315160000 is about 17752.7462664231. The cubic root of 315160000 is about 680.5243936554.

The spelling of 315160000 in words is "three hundred fifteen million, one hundred sixty thousand".