315141640 has 64 divisors (see below), whose sum is σ = 776381760. Its totient is φ = 114174720.

The previous prime is 315141623. The next prime is 315141647. The reversal of 315141640 is 46141513.

It is not an unprimeable number, because it can be changed into a prime (315141647) by changing a digit.

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, 133914 + ... + 136246.

It is an arithmetic number, because the mean of its divisors is an integer number (12130965).

Almost surely, 2^315141640 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 315141640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388190880).

315141640 is an abundant number, since it is smaller than the sum of its proper divisors (461240120).

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

315141640 is a wasteful number, since it uses less digits than its factorization.

315141640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 315141640 is about 17752.2291557990. The cubic root of 315141640 is about 680.5111784944.

The spelling of 315141640 in words is "three hundred fifteen million, one hundred forty-one thousand, six hundred forty".