259064 has 32 divisors (see below), whose sum is σ = 544320. Its totient is φ = 114816.

The previous prime is 259033. The next prime is 259099. The reversal of 259064 is 460952.

It is a super-2 number, since 2×259064² = 134228312192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 259064.

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 7 ways as a sum of consecutive naturals, for example, 4862 + ... + 4914.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2²⁵⁹⁰⁶⁴ 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 259064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160).

259064 is an abundant number, since it is smaller than the sum of its proper divisors (285256).

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

259064 is a wasteful number, since it uses less digits than its factorization.

259064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 259064 is about 508.9833003154. The cubic root of 259064 is about 63.7483608447.

The spelling of 259064 in words is "two hundred fifty-nine thousand, sixty-four".