560768 has 32 divisors (see below), whose sum is σ = 1206660. Its totient is φ = 258048.

The previous prime is 560767. The next prime is 560771. The reversal of 560768 is 867065.

It can be written as a sum of positive squares in 2 ways, for example, as 506944 + 53824 = 712^2 + 232^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (560761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1496 + ... + 1832.

2⁵⁶⁰⁷⁶⁸ 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 560768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603330).

560768 is an abundant number, since it is smaller than the sum of its proper divisors (645892).

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

560768 is a wasteful number, since it uses less digits than its factorization.

560768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 560768 is about 748.8444431255. The cubic root of 560768 is about 82.4633691067.

The spelling of 560768 in words is "five hundred sixty thousand, seven hundred sixty-eight".