259140 has 48 divisors (see below), whose sum is σ = 830592. Its totient is φ = 59136.

The previous prime is 259123. The next prime is 259151. The reversal of 259140 is 41952.

259140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 259140.

It is an unprimeable number.

259140 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112 + ... + 728.

It is an arithmetic number, because the mean of its divisors is an integer number (17304).

2²⁵⁹¹⁴⁰ is an apocalyptic number.

259140 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 259140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415296).

259140 is an abundant number, since it is smaller than the sum of its proper divisors (571452).

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

259140 is a wasteful number, since it uses less digits than its factorization.

259140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 259140 is about 509.0579534788. The cubic root of 259140 is about 63.7545940557.

The spelling of 259140 in words is "two hundred fifty-nine thousand, one hundred forty".