315561140 has 48 divisors (see below), whose sum is σ = 706482000. Its totient is φ = 117983232.

The previous prime is 315561119. The next prime is 315561143. The reversal of 315561140 is 41165513.

It can be written as a sum of positive squares in 8 ways, for example, as 6012304 + 309548836 = 2452^2 + 17594^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315561143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47546 + ... + 53774.

It is an arithmetic number, because the mean of its divisors is an integer number (14718375).

Almost surely, 2^315561140 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 315561140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353241000).

315561140 is an abundant number, since it is smaller than the sum of its proper divisors (390920860).

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

315561140 is a wasteful number, since it uses less digits than its factorization.

315561140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6404 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 315561140 is about 17764.0406439526. The cubic root of 315561140 is about 680.8129981920.

The spelling of 315561140 in words is "three hundred fifteen million, five hundred sixty-one thousand, one hundred forty".