313560040 has 64 divisors (see below), whose sum is σ = 766656000. Its totient is φ = 114981120.

The previous prime is 313560011. The next prime is 313560041. The reversal of 313560040 is 40065313.

It is a junction number, because it is equal to n+sod(n) for n = 313559993 and 313560020.

It is not an unprimeable number, because it can be changed into a prime (313560041) 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, 16906 + ... + 30214.

It is an arithmetic number, because the mean of its divisors is an integer number (11979000).

Almost surely, 2^313560040 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 313560040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383328000).

313560040 is an abundant number, since it is smaller than the sum of its proper divisors (453095960).

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

313560040 is a wasteful number, since it uses less digits than its factorization.

313560040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13370 (or 13366 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 313560040 is about 17707.6266055053. The cubic root of 313560040 is about 679.3708425153.

The spelling of 313560040 in words is "three hundred thirteen million, five hundred sixty thousand, forty".