There's a process to getting the mortgage payoff statement. First, you'll need to contact your lender and let them know you want the information. Depending on your lender, you may have to sign in to an online account, call a helpline, or send a formal letter to start the request process.
The best way to get the accurate payoff amount is to contact your lender.
It almost certainly accounts for the interest that accrued from the time of your last mortgage statement until the payoff date. It's also very possible that you will get some of that extra back based on the date that the actual payoff was received and the calculated interest.