260768 has 24 divisors (see below), whose sum is σ = 532980. Its totient is φ = 125440.

The previous prime is 260761. The next prime is 260773. The reversal of 260768 is 867062.

It can be written as a sum of positive squares in 2 ways, for example, as 258064 + 2704 = 508^2 + 52^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 260768.

It is not an unprimeable number, because it can be changed into a prime (260761) by changing a digit.

260768 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, 788 + ... + 1068.

2²⁶⁰⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266490).

260768 is an abundant number, since it is smaller than the sum of its proper divisors (272212).

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

260768 is a wasteful number, since it uses less digits than its factorization.

260768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 260768 is about 510.6544820130. The cubic root of 260768 is about 63.8878243329.

The spelling of 260768 in words is "two hundred sixty thousand, seven hundred sixty-eight".