It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 267 608 is not a prime number.
For example, 267 608 can be divided by 2: 267 608 / 2 = 133 804.
For 267 608 to be a prime number, it would have been required that 267 608 has only two divisors, i.e., itself and 1.
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267 608 is an even number, because it is evenly divisible by 2: 267 608 / 2 = 133 804.
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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 267 608 is about 517.308.
Thus, the square root of 267 608 is not an integer, and therefore 267 608 is not a square number.
The square of a number (here 267 608) is the result of the product of this number (267 608) by itself (i.e., 267 608 × 267 608); the square of 267 608 is sometimes called "raising 267 608 to the power 2", or "267 608 squared".
The square of 267 608 is 71 614 041 664 because 267 608 × 267 608 = 267 6082 = 71 614 041 664.
As a consequence, 267 608 is the square root of 71 614 041 664.
The multiples of 267 608 are all integers evenly divisible by 267 608, that is all numbers such that the remainder of the division by 267 608 is zero. There are infinitely many multiples of 267 608. The smallest multiples of 267 608 are: