259360 has 24 divisors (see below), whose sum is σ = 613116. Its totient is φ = 103680.

The previous prime is 259339. The next prime is 259379. The reversal of 259360 is 63952.

259360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 258064 + 1296 = 508^2 + 36^2 .

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

259360 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 3 ways as a sum of consecutive naturals, for example, 651 + ... + 970.

2²⁵⁹³⁶⁰ is an apocalyptic number.

259360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259360 is an abundant number, since it is smaller than the sum of its proper divisors (353756).

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

259360 is a wasteful number, since it uses less digits than its factorization.

259360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 259360 is about 509.2739930529. The cubic root of 259360 is about 63.7726306940.

The spelling of 259360 in words is "two hundred fifty-nine thousand, three hundred sixty".