It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 688 816 is not a prime number.
For example, 688 816 can be divided by 2: 688 816 / 2 = 344 408.
For 688 816 to be a prime number, it would have been required that 688 816 has only two divisors, i.e., itself and 1.
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688 816 is an even number, because it is evenly divisible by 2: 688 816 / 2 = 344 408.
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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 688 816 is about 829.949.
Thus, the square root of 688 816 is not an integer, and therefore 688 816 is not a square number.
The square of a number (here 688 816) is the result of the product of this number (688 816) by itself (i.e., 688 816 × 688 816); the square of 688 816 is sometimes called "raising 688 816 to the power 2", or "688 816 squared".
The square of 688 816 is 474 467 481 856 because 688 816 × 688 816 = 688 8162 = 474 467 481 856.
As a consequence, 688 816 is the square root of 474 467 481 856.
The multiples of 688 816 are all integers evenly divisible by 688 816, that is all numbers such that the remainder of the division by 688 816 is zero. There are infinitely many multiples of 688 816. The smallest multiples of 688 816 are: