165568 has 28 divisors (see below), whose sum is σ = 355600. Its totient is φ = 76032.

The previous prime is 165559. The next prime is 165569. The reversal of 165568 is 865561.

It is not an unprimeable number, because it can be changed into a prime (165569) by changing a digit.

165568 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, 733 + ... + 931.

It is an arithmetic number, because the mean of its divisors is an integer number (12700).

2¹⁶⁵⁵⁶⁸ 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 165568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177800).

165568 is an abundant number, since it is smaller than the sum of its proper divisors (190032).

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

165568 is a wasteful number, since it uses less digits than its factorization.

165568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its digits is 7200, while the sum is 31.

The square root of 165568 is about 406.9004792329. The cubic root of 165568 is about 54.9109302139.

The spelling of 165568 in words is "one hundred sixty-five thousand, five hundred sixty-eight".