It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 260 678 is not a prime number.
For example, 260 678 can be divided by 2: 260 678 / 2 = 130 339.
For 260 678 to be a prime number, it would have been required that 260 678 has only two divisors, i.e., itself and 1.
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260 678 is an even number, because it is evenly divisible by 2: 260 678 / 2 = 130 339.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 260 678 is about 510.566.
Thus, the square root of 260 678 is not an integer, and therefore 260 678 is not a square number.
The square of a number (here 260 678) is the result of the product of this number (260 678) by itself (i.e., 260 678 × 260 678); the square of 260 678 is sometimes called "raising 260 678 to the power 2", or "260 678 squared".
The square of 260 678 is 67 953 019 684 because 260 678 × 260 678 = 260 6782 = 67 953 019 684.
As a consequence, 260 678 is the square root of 67 953 019 684.
The multiples of 260 678 are all integers evenly divisible by 260 678, that is all numbers such that the remainder of the division by 260 678 is zero. There are infinitely many multiples of 260 678. The smallest multiples of 260 678 are: