11568 has 20 divisors (see below), whose sum is σ = 30008. Its totient is φ = 3840.

The previous prime is 11551. The next prime is 11579. The reversal of 11568 is 86511.

11568 is nontrivially palindromic in base 5 and base 15.

11568 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is a plaindrome in base 10.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

11568 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73 + ... + 168.

2¹¹⁵⁶⁸ is an apocalyptic number.

It is an amenable number.

11568 is an abundant number, since it is smaller than the sum of its proper divisors (18440).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15004).

11568 is a wasteful number, since it uses less digits than its factorization.

11568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its digits is 240, while the sum is 21.

The square root of 11568 is about 107.5546372780. The cubic root of 11568 is about 22.6161890949.

The spelling of 11568 in words is "eleven thousand, five hundred sixty-eight".