Preheat the oven to 425 F. Line a standard muffin pan with 14 paper liners. Lightly spray the papers and the top of the pan with non-stick baking spray.
In a bowl, combine all of the topping ingredients until moistened and crumbly. Set aside.
To make the muffin batter, sift together the flour, salt, baking soda and spices in a bowl.
Separately, whisk together the brown sugar, eggs, sour cream, butter and vanilla. Peel and core the apples, then grate them with a box grater (don't use the tiny holes, or it will just turn the apples into juice). Measure 2 packed cups of grated apples and stir them into the wet ingredients.
Add the dry ingredients to the wet, and stir together just until moistened.
Divide the batter between the muffin cups, filling them full.
Spoon the crumble on top of the batter. It may seem like too much crumble, but it's not. Just heap it on, and gently press it into the batter.
Bake the muffins on the center oven rack at 425 F for 5 minutes. Without opening the door, turn the heat down to 375 F and bake for about 12-15 minutes more, or until a toothpick comes out clean.
Cool the muffins in the pan for 2 minutes, then gently lift them out and let the cool on a cooling rack for 5-10 minutes.
Enjoy the muffins warm, with softened butter.