65568 has 24 divisors (see below), whose sum is σ = 172368. Its totient is φ = 21824.

The previous prime is 65563. The next prime is 65579. The reversal of 65568 is 86556.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (65563) by changing a digit.

65568 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 (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 246 + ... + 437.

It is an arithmetic number, because the mean of its divisors is an integer number (7182).

2⁶⁵⁵⁶⁸ is an apocalyptic number.

It is an amenable number.

65568 is an abundant number, since it is smaller than the sum of its proper divisors (106800).

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 (86184).

65568 is a wasteful number, since it uses less digits than its factorization.

65568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 688 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 65568 is about 256.0624923725. The cubic root of 65568 is about 40.3240346177.

The spelling of 65568 in words is "sixty-five thousand, five hundred sixty-eight".