259120 has 40 divisors (see below), whose sum is σ = 624960. Its totient is φ = 99840.

The previous prime is 259099. The next prime is 259121. The reversal of 259120 is 21952.

259120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3241 + ... + 3319.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2²⁵⁹¹²⁰ is an apocalyptic number.

259120 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 259120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312480).

259120 is an abundant number, since it is smaller than the sum of its proper divisors (365840).

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

259120 is a wasteful number, since it uses less digits than its factorization.

259120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 259120 is about 509.0383089709. The cubic root of 259120 is about 63.7529538552.

The spelling of 259120 in words is "two hundred fifty-nine thousand, one hundred twenty".