259080 has 64 divisors (see below), whose sum is σ = 829440. Its totient is φ = 64512.

The previous prime is 259033. The next prime is 259099. The reversal of 259080 is 80952.

It is a Cunningham number, because it is equal to 509²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 259080.

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, 1977 + ... + 2103.

It is an arithmetic number, because the mean of its divisors is an integer number (12960).

259080 is a Friedman number, since it can be written as 509^2-8^0, using all its digits and the basic arithmetic operations.

2²⁵⁹⁰⁸⁰ is an apocalyptic number.

259080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414720).

259080 is an abundant number, since it is smaller than the sum of its proper divisors (570360).

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

259080 is a wasteful number, since it uses less digits than its factorization.

259080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 259080 is about 508.9990176808. Note that the first 3 decimals coincide. The cubic root of 259080 is about 63.7496732009.

The spelling of 259080 in words is "two hundred fifty-nine thousand, eighty".