560114560 has 64 divisors (see below), whose sum is σ = 1370231280. Its totient is φ = 218824704.

The previous prime is 560114531. The next prime is 560114587. The reversal of 560114560 is 65411065.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 17344 + ... + 37696.

Almost surely, 2^560114560 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 560114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685115640).

560114560 is an abundant number, since it is smaller than the sum of its proper divisors (810116720).

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

560114560 is a wasteful number, since it uses less digits than its factorization.

560114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20415 (or 20403 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 560114560 is about 23666.7395304043. The cubic root of 560114560 is about 824.3132626108.

The spelling of 560114560 in words is "five hundred sixty million, one hundred fourteen thousand, five hundred sixty".