6568 has 8 divisors (see below), whose sum is σ = 12330. Its totient is φ = 3280.

The previous prime is 6563. The next prime is 6569. The reversal of 6568 is 8656.

It can be written as a sum of positive squares in only one way, i.e., 6084 + 484 = 78^2 + 22^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (6563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 403 + ... + 418.

2⁶⁵⁶⁸ is an apocalyptic number.

It is an amenable number.

6568 is a deficient number, since it is larger than the sum of its proper divisors (5762).

6568 is a wasteful number, since it uses less digits than its factorization.

6568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 823 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 6568 is about 81.0431983574. The cubic root of 6568 is about 18.7274098311.

Adding to 6568 its product of digits (1440), we get a palindrome (8008).

The spelling of 6568 in words is "six thousand, five hundred sixty-eight".