A president can be impeached and still remain in office. Impeachment is not the process by which government officials can be removed from office. It is the first stage of a two-stage process to remove the individual. Impeachment is the equivalent of an indictment or a legal statement of the charges. It does not mean he has been found guilty of anything. In order to be removed from office, the official has to be convicted of the charges by the Senate.
President Andrew Johnson was the first president to be impeached, but he was acquitted of all charges. Richard Nixon resigned because it was a near certainty that Congress would impeach him and the Senate would convict him. Bill Clinton was the latest president to be impeached. Two articles of impeachment failed, and he was acquitted of a charge of Obstruction of Justice.
President Andrew Johnson was the first president to be impeached, but he was acquitted of all charges. Richard Nixon resigned because it was a near certainty that Congress would impeach him and the Senate would convict him. Bill Clinton was the latest president to be impeached. Two articles of impeachment failed, and he was acquitted of a charge of Obstruction of Justice.