315640000 has 140 divisors (see below), whose sum is σ = 844279744. Its totient is φ = 116352000.

The previous prime is 315639983. The next prime is 315640001. The reversal of 315640000 is 46513.

It is a self number, because there is not a number n which added to its sum of digits gives 315640000.

It is not an unprimeable number, because it can be changed into a prime (315640001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 519697 + ... + 520303.

Almost surely, 2^315640000 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 315640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422139872).

315640000 is an abundant number, since it is smaller than the sum of its proper divisors (528639744).

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

315640000 is an equidigital number, since it uses as much as digits as its factorization.

315640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 315640000 is about 17766.2601579511. The cubic root of 315640000 is about 680.8697061052.

Adding to 315640000 its reverse (46513), we get a palindrome (315686513).

The spelling of 315640000 in words is "three hundred fifteen million, six hundred forty thousand".