What happens if you get a double in Shut the Box?

Could you please elaborate on what exactly happens in the game of Shut the Box when a player achieves a "double"? Does this occurrence grant any special advantage, such as extra points or a unique opportunity to progress further in the game? Additionally, are there any specific rules or strategies that players should be aware of when aiming to land a double in Shut the Box? I'm eager to understand the implications of this event and how it might impact the overall gameplay experience.