259956 has 48 divisors (see below), whose sum is σ = 705600. Its totient is φ = 82656.

The previous prime is 259949. The next prime is 259967. The reversal of 259956 is 659952.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 259956.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3091 + ... + 3173.

It is an arithmetic number, because the mean of its divisors is an integer number (14700).

2²⁵⁹⁹⁵⁶ 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 259956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352800).

259956 is an abundant number, since it is smaller than the sum of its proper divisors (445644).

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

259956 is a wasteful number, since it uses less digits than its factorization.

259956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 259956 is about 509.8588039840. The cubic root of 259956 is about 63.8214423984.

The spelling of 259956 in words is "two hundred fifty-nine thousand, nine hundred fifty-six".