It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 688 518 is not a prime number.
For example, 688 518 can be divided by 2: 688 518 / 2 = 344 259.
For 688 518 to be a prime number, it would have been required that 688 518 has only two divisors, i.e., itself and 1.
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688 518 is an even number, because it is evenly divisible by 2: 688 518 / 2 = 344 259.
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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 688 518 is about 829.770.
Thus, the square root of 688 518 is not an integer, and therefore 688 518 is not a square number.
The square of a number (here 688 518) is the result of the product of this number (688 518) by itself (i.e., 688 518 × 688 518); the square of 688 518 is sometimes called "raising 688 518 to the power 2", or "688 518 squared".
The square of 688 518 is 474 057 036 324 because 688 518 × 688 518 = 688 5182 = 474 057 036 324.
As a consequence, 688 518 is the square root of 474 057 036 324.
The multiples of 688 518 are all integers evenly divisible by 688 518, that is all numbers such that the remainder of the division by 688 518 is zero. There are infinitely many multiples of 688 518. The smallest multiples of 688 518 are: