259038 has 48 divisors (see below), whose sum is σ = 642096. Its totient is φ = 77760.

The previous prime is 259033. The next prime is 259099. The reversal of 259038 is 830952.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6298 + ... + 6338.

It is an arithmetic number, because the mean of its divisors is an integer number (13377).

2²⁵⁹⁰³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321048).

259038 is an abundant number, since it is smaller than the sum of its proper divisors (383058).

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

259038 is a wasteful number, since it uses less digits than its factorization.

259038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 59 counting only the distinct ones).

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

The square root of 259038 is about 508.9577585616. The cubic root of 259038 is about 63.7462281505.

It can be divided in two parts, 2590 and 38, that added together give a triangular number (2628 = T₇₂).

The spelling of 259038 in words is "two hundred fifty-nine thousand, thirty-eight".