259590 has 32 divisors (see below), whose sum is σ = 660960. Its totient is φ = 65024.

The previous prime is 259583. The next prime is 259603. The reversal of 259590 is 95952.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256 + ... + 764.

It is an arithmetic number, because the mean of its divisors is an integer number (20655).

2²⁵⁹⁵⁹⁰ is an apocalyptic number.

It is a pronic number, being equal to 509×510.

It is a practical number, because each smaller number is the sum of distinct divisors of 259590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330480).

259590 is an abundant number, since it is smaller than the sum of its proper divisors (401370).

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

259590 is a wasteful number, since it uses less digits than its factorization.

259590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536.

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 259590 is about 509.4997546614. The cubic root of 259590 is about 63.7914762773.

Subtracting from 259590 its sum of digits (30), we obtain a triangular number (259560 = T₇₂₀).

The spelling of 259590 in words is "two hundred fifty-nine thousand, five hundred ninety".