10568 has 8 divisors (see below), whose sum is σ = 19830. Its totient is φ = 5280.

The previous prime is 10567. The next prime is 10589. The reversal of 10568 is 86501.

It can be written as a sum of positive squares in only one way, i.e., 6724 + 3844 = 82^2 + 62^2 .

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

It is a super-2 number, since 2×10568² = 223365248, which contains 22 as substring.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (10567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 653 + ... + 668.

2¹⁰⁵⁶⁸ is an apocalyptic number.

It is an amenable number.

10568 is a deficient number, since it is larger than the sum of its proper divisors (9262).

10568 is a wasteful number, since it uses less digits than its factorization.

10568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 10568 is about 102.8007782072. The cubic root of 10568 is about 21.9447650199.

It can be divided in two parts, 1056 and 8, that multiplied together give a palindrome (8448).

The spelling of 10568 in words is "ten thousand, five hundred sixty-eight".