165168 has 60 divisors (see below), whose sum is σ = 490048. Its totient is φ = 51840.

The previous prime is 165161. The next prime is 165173. The reversal of 165168 is 861561.

165168 is a `hidden beast` number, since 1 + 651 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (165161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4446 + ... + 4482.

2¹⁶⁵¹⁶⁸ is an apocalyptic number.

165168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245024).

165168 is an abundant number, since it is smaller than the sum of its proper divisors (324880).

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

165168 is a wasteful number, since it uses less digits than its factorization.

165168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 73 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 165168 is about 406.4086613250. The cubic root of 165168 is about 54.8666743111.

It can be divided in two parts, 165 and 168, that added together give a palindrome (333).

The spelling of 165168 in words is "one hundred sixty-five thousand, one hundred sixty-eight".