259760 has 40 divisors (see below), whose sum is σ = 642816. Its totient is φ = 97280.

The previous prime is 259751. The next prime is 259771. The reversal of 259760 is 67952.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 259760.

It is an unprimeable number.

259760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1265 + ... + 1455.

2²⁵⁹⁷⁶⁰ is an apocalyptic number.

259760 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 259760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321408).

259760 is an abundant number, since it is smaller than the sum of its proper divisors (383056).

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

259760 is a wasteful number, since it uses less digits than its factorization.

259760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 259760 is about 509.6665576629. Note that the first 3 decimals coincide. The cubic root of 259760 is about 63.8053984681.

The spelling of 259760 in words is "two hundred fifty-nine thousand, seven hundred sixty".