315665640 has 64 divisors (see below), whose sum is σ = 1052222400. Its totient is φ = 84177216.

The previous prime is 315665627. The next prime is 315665641. The reversal of 315665640 is 46566513.

315665640 is a `hidden beast` number, since 3 + 1 + 5 + 6 + 6 + 5 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 315665595 and 315665604.

It is not an unprimeable number, because it can be changed into a prime (315665641) 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 15 ways as a sum of consecutive naturals, for example, 145062 + ... + 147221.

It is an arithmetic number, because the mean of its divisors is an integer number (16440975).

Almost surely, 2^315665640 is an apocalyptic number.

315665640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315665640 is an abundant number, since it is smaller than the sum of its proper divisors (736556760).

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

315665640 is a wasteful number, since it uses less digits than its factorization.

315665640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292303 (or 292293 counting only the distinct ones).

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

The square root of 315665640 is about 17766.9817357929. The cubic root of 315665640 is about 680.8881416928. Note that the first 3 decimals are identical.

The spelling of 315665640 in words is "three hundred fifteen million, six hundred sixty-five thousand, six hundred forty".