Easton's Bible Dictionary (1897)
The king’s, the father of Jerahmeel, mentioned in Jer. 36:26. Some take this word as a common noun, “the king”, and understand that Jerahmeel was Jehoiakim’s son. Probably, however, it is to be taken as a proper name.
Smith's Bible Dictionary (1863)
lit. “the king, ” unnecessarily rendered in the Authorized Version as a proper name.
Hastings' Dictionary of the Bible (1898) & Schaff's Bible Dictionary
HAM'MELECH (the king), the father of Jerahmeel and Malchiah. Jer 36:26; Eze 38:6.
Hitchcock's Bible Names (1869)
a king; a counselor