1568 has 18 divisors (see below), whose sum is σ = 3591. Its totient is φ = 672.

The previous prime is 1567. The next prime is 1571. The reversal of 1568 is 8651.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 784 + 784 = 28^2 + 28^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=28.

1568 is a Rhonda number in base 10.

Its product of digits (240) is a multiple of the sum of its prime factors (24).

It is a plaindrome in base 5 and base 10.

It is a nialpdrome in base 7, base 12, base 14 and base 16.

It is a zygodrome in base 5 and base 7.

It is not an unprimeable number, because it can be changed into a prime (1567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 221 + ... + 227.

2¹⁵⁶⁸ 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 1568

1568 is an abundant number, since it is smaller than the sum of its proper divisors (2023).

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

1568 is an equidigital number, since it uses as much as digits as its factorization.

1568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24 (or 9 counting only the distinct ones).

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

The square root of 1568 is about 39.5979797464. The cubic root of 1568 is about 11.6175714671.

The spelling of 1568 in words is "one thousand, five hundred sixty-eight".