There are a lot of good responses.
This is what I would do:
Buy as large a property as I can. A $4 million property is better than a $2 million property.
Why?
A $4 million property will give you a depreciation of $145,440. So any net income you make would be essentially tax-free. You become a real estate professional and you can carry over any losses to subsequent years.
Let the property appreciate a bit and cash out whatever you can while ensuring that you have all the expenses met and you have some money to live on. Then you either buy other properties or put the extra money into other types of investment vehicles, such as S&P 500 or treasury bills or whatever.
Now, if the $1 million is in a retirement account then you move it into a self-directed IRA and let your IRA buy the property. Then you only worry about taxes on the money you withdraw from your IRA. You may also convert your regular IRA to a Roth IRA and never have to worry about paying taxes for the rest of your life. :)
Above are just some ideas. Talk to a real estate-savvy tax/legal professional before you make the moves.