1314880560 has 640 divisors, whose sum is σ = 5713920000. Its totient is φ = 270978048.

The previous prime is 1314880529. The next prime is 1314880573. The reversal of 1314880560 is 650884131.

1314880560 is a `hidden beast` number, since 1 + 3 + 14 + 8 + 80 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6607341 + ... + 6607539.

It is an arithmetic number, because the mean of its divisors is an integer number (8928000).

Almost surely, 2^1314880560 is an apocalyptic number.

1314880560 is a gapful number since it is divisible by the number (10) 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 1314880560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856960000).

1314880560 is an abundant number, since it is smaller than the sum of its proper divisors (4399039440).

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

1314880560 is a wasteful number, since it uses less digits than its factorization.

1314880560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1314880560 is about 36261.2818306248. The cubic root of 1314880560 is about 1095.5413348884.

The spelling of 1314880560 in words is "one billion, three hundred fourteen million, eight hundred eighty thousand, five hundred sixty".