259168 has 48 divisors (see below), whose sum is σ = 635040. Its totient is φ = 101376.

The previous prime is 259163. The next prime is 259169. The reversal of 259168 is 861952.

259168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2868 + ... + 2956.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2²⁵⁹¹⁶⁸ is an apocalyptic number.

259168 is a gapful number since it is divisible by the number (28) 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 259168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317520).

259168 is an abundant number, since it is smaller than the sum of its proper divisors (375872).

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

259168 is a wasteful number, since it uses less digits than its factorization.

259168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 111 counting only the distinct ones).

The product of its digits is 4320, while the sum is 31.

The square root of 259168 is about 509.0854545162. The cubic root of 259168 is about 63.7568901947.

It can be divided in two parts, 2 and 59168, that multiplied together give a square (118336 = 344²).

The spelling of 259168 in words is "two hundred fifty-nine thousand, one hundred sixty-eight".