315168240 has 80 divisors (see below), whose sum is σ = 982080000. Its totient is φ = 83609856.

The previous prime is 315168239. The next prime is 315168247. The reversal of 315168240 is 42861513.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 315168198 and 315168207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315168247) 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, 44461 + ... + 51059.

It is an arithmetic number, because the mean of its divisors is an integer number (12276000).

Almost surely, 2^315168240 is an apocalyptic number.

315168240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315168240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491040000).

315168240 is an abundant number, since it is smaller than the sum of its proper divisors (666911760).

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

315168240 is a wasteful number, since it uses less digits than its factorization.

315168240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6814 (or 6808 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 315168240 is about 17752.9783416755. The cubic root of 315168240 is about 680.5303244759.

The spelling of 315168240 in words is "three hundred fifteen million, one hundred sixty-eight thousand, two hundred forty".