313180560 has 480 divisors, whose sum is σ = 1374019200. Its totient is φ = 64834560.

The previous prime is 313180559. The next prime is 313180577. The reversal of 313180560 is 65081313.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1164106 + ... + 1164374.

It is an arithmetic number, because the mean of its divisors is an integer number (2862540).

Almost surely, 2^313180560 is an apocalyptic number.

313180560 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 313180560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687009600).

313180560 is an abundant number, since it is smaller than the sum of its proper divisors (1060838640).

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

313180560 is a wasteful number, since it uses less digits than its factorization.

313180560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 313180560 is about 17696.9082045424. The cubic root of 313180560 is about 679.0966667205.

313180560 divided by its product of nonzero digits (2160) gives a triangular number (144991 = T₅₃₈).

The spelling of 313180560 in words is "three hundred thirteen million, one hundred eighty thousand, five hundred sixty".