$0.01.
Some rare ones might be worth more, but except for the very rarest, not a LOT more.
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If you mean a penny from 1960 the answer would be one penny. These coins are not rare and can easily be found be searching through pocket change. If you mean pennies from the 1960s the answer would still be the same. Again these can easily be found in pocket change.
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...If you can read the date on the penny, it is not an unstamped penny.