315645066 has 64 divisors (see below), whose sum is σ = 767318400. Its totient is φ = 95385600.

The previous prime is 315645059. The next prime is 315645067. The reversal of 315645066 is 660546513.

315645066 is a `hidden beast` number, since 3 + 1 + 5 + 645 + 0 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 315645066.

It is not an unprimeable number, because it can be changed into a prime (315645067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380340 + ... + 381168.

It is an arithmetic number, because the mean of its divisors is an integer number (11989350).

Almost surely, 2^315645066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315645066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383659200).

315645066 is an abundant number, since it is smaller than the sum of its proper divisors (451673334).

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

315645066 is a wasteful number, since it uses less digits than its factorization.

315645066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 315645066 is about 17766.4027309976. The cubic root of 315645066 is about 680.8733487229.

The spelling of 315645066 in words is "three hundred fifteen million, six hundred forty-five thousand, sixty-six".