It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 644 684 is not a prime number.
For example, 644 684 can be divided by 2: 644 684 / 2 = 322 342.
For 644 684 to be a prime number, it would have been required that 644 684 has only two divisors, i.e., itself and 1.
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644 684 is an even number, because it is evenly divisible by 2: 644 684 / 2 = 322 342.
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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 644 684 is about 802.922.
Thus, the square root of 644 684 is not an integer, and therefore 644 684 is not a square number.
The square of a number (here 644 684) is the result of the product of this number (644 684) by itself (i.e., 644 684 × 644 684); the square of 644 684 is sometimes called "raising 644 684 to the power 2", or "644 684 squared".
The square of 644 684 is 415 617 459 856 because 644 684 × 644 684 = 644 6842 = 415 617 459 856.
As a consequence, 644 684 is the square root of 415 617 459 856.
The multiples of 644 684 are all integers evenly divisible by 644 684, that is all numbers such that the remainder of the division by 644 684 is zero. There are infinitely many multiples of 644 684. The smallest multiples of 644 684 are: