259164 has 36 divisors (see below), whose sum is σ = 685776. Its totient is φ = 82368.

The previous prime is 259163. The next prime is 259169. The reversal of 259164 is 461952.

It is a tau number, because it is divible by the number of its divisors (36).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 672 + ... + 984.

2²⁵⁹¹⁶⁴ 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 259164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342888).

259164 is an abundant number, since it is smaller than the sum of its proper divisors (426612).

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

259164 is a wasteful number, since it uses less digits than its factorization.

259164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 341 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 259164 is about 509.0815258876. The cubic root of 259164 is about 63.7565621849.

The spelling of 259164 in words is "two hundred fifty-nine thousand, one hundred sixty-four".