Is burning 600 calories a day enough to lose weight?
Losing weight mostly depends on creating a caloric deficit.
To lose 1 pound of fat (half kg) in a week you need to maintain a caloric deficit of roughly around 3500kcal, which is around 500kcal per day (this figure may differ from person to person depending on the metabolic rate)
If you are consuming say 2000kcal and burning 600kcal and working out 6 days a week you are creating a caloric deficit of 3600kcal which would indeed help you drop some extra pounds (Remember consistency is the key)
You can enjoy your favorite meal once in a while unless until you are in deficit
You can use calorie tracking apps like myfitnesspal to track the amount of calories you are consuming