12568 has 8 divisors (see below), whose sum is σ = 23580. Its totient is φ = 6280.

The previous prime is 12553. The next prime is 12569. The reversal of 12568 is 86521.

It is a happy number.

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

It is a plaindrome in base 10 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12569) by changing a digit.

12568 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 778 + ... + 793.

2¹²⁵⁶⁸ is an apocalyptic number.

It is an amenable number.

12568 is a deficient number, since it is larger than the sum of its proper divisors (11012).

12568 is a wasteful number, since it uses less digits than its factorization.

12568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1573 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The square root of 12568 is about 112.1070916579. The cubic root of 12568 is about 23.2499518248.

The spelling of 12568 in words is "twelve thousand, five hundred sixty-eight".