315607040 has 288 divisors, whose sum is σ = 957935160. Its totient is φ = 99090432.

The previous prime is 315607031. The next prime is 315607049. The reversal of 315607040 is 40706513.

It is an interprime number because it is at equal distance from previous prime (315607031) and next prime (315607049).

It can be written as a sum of positive squares in 4 ways, for example, as 313148416 + 2458624 = 17696^2 + 1568^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315607049) 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 23 ways as a sum of consecutive naturals, for example, 8529902 + ... + 8529938.

Almost surely, 2^315607040 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 315607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478967580).

315607040 is an abundant number, since it is smaller than the sum of its proper divisors (642328120).

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

315607040 is a wasteful number, since it uses less digits than its factorization.

315607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 315607040 is about 17765.3325327729. The cubic root of 315607040 is about 680.8460058489.

The spelling of 315607040 in words is "three hundred fifteen million, six hundred seven thousand, forty".