259968 has 32 divisors (see below), whose sum is σ = 691560. Its totient is φ = 86528.

The previous prime is 259967. The next prime is 259991. The reversal of 259968 is 869952.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×259968² = 135166722048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46 + ... + 722.

2²⁵⁹⁹⁶⁸ 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 259968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345780).

259968 is an abundant number, since it is smaller than the sum of its proper divisors (431592).

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

259968 is an equidigital number, since it uses as much as digits as its factorization.

259968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 682 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 259968 is about 509.8705718121. The cubic root of 259968 is about 63.8224244179.

The spelling of 259968 in words is "two hundred fifty-nine thousand, nine hundred sixty-eight".