13568 has 18 divisors (see below), whose sum is σ = 27594. Its totient is φ = 6656.

The previous prime is 13567. The next prime is 13577. The reversal of 13568 is 86531.

It can be written as a sum of positive squares in only one way, i.e., 12544 + 1024 = 112^2 + 32^2 .

It is a plaindrome in base 10.

It is a nialpdrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230 + ... + 282.

It is an arithmetic number, because the mean of its divisors is an integer number (1533).

2¹³⁵⁶⁸ 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 13568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13797).

13568 is an abundant number, since it is smaller than the sum of its proper divisors (14026).

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

13568 is an frugal number, since it uses more digits than its factorization.

13568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 55 counting only the distinct ones).

The product of its digits is 720, while the sum is 23.

The square root of 13568 is about 116.4817582285. The cubic root of 13568 is about 23.8509278310.

It can be divided in two parts, 135 and 68, that multiplied together give a triangular number (9180 = T₁₃₅).

The spelling of 13568 in words is "thirteen thousand, five hundred sixty-eight".