560113664 has 144 divisors (see below), whose sum is σ = 1304372160. Its totient is φ = 238346240.

The previous prime is 560113633. The next prime is 560113679. The reversal of 560113664 is 466311065.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 560113664.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11917289 + ... + 11917335.

It is an arithmetic number, because the mean of its divisors is an integer number (9058140).

Almost surely, 2^560113664 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 560113664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652186080).

560113664 is an abundant number, since it is smaller than the sum of its proper divisors (744258496).

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

560113664 is a wasteful number, since it uses less digits than its factorization.

560113664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 560113664 is about 23666.7206008775. The cubic root of 560113664 is about 824.3128230668.

The spelling of 560113664 in words is "five hundred sixty million, one hundred thirteen thousand, six hundred sixty-four".