259656 has 32 divisors (see below), whose sum is σ = 672000. Its totient is φ = 83520.

The previous prime is 259643. The next prime is 259657. The reversal of 259656 is 656952.

It is an Ulam number.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (259657) 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, 570 + ... + 918.

It is an arithmetic number, because the mean of its divisors is an integer number (21000).

2²⁵⁹⁶⁵⁶ 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 259656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336000).

259656 is an abundant number, since it is smaller than the sum of its proper divisors (412344).

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

259656 is a wasteful number, since it uses less digits than its factorization.

259656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 385 counting only the distinct ones).

The product of its digits is 16200, while the sum is 33.

The square root of 259656 is about 509.5645199580. The cubic root of 259656 is about 63.7968820848.

The spelling of 259656 in words is "two hundred fifty-nine thousand, six hundred fifty-six".