This can only be done in Dollar Dash. You can only carry $1000 in your bag at once, there is an upgrade to increase the amount of money your can hold but it only increases it by $100. Each stack you pick up is worth $100, so you will need to pick up 10 stacks. You will know if you have $1,000 in your bag when you see dollar bills falling out of your bag. Once you have the needed amount make your way over to the getaway car and deposit it.
This can be difficult if you are playing against other players online or even with bots set up to noob difficulty. Easiest way to obtain this is to set up a private match, $3000 to win, any map and power-ups will work. Just run around and collect 10 stacks and score it once the getaway car appears.