I'd always understood this verse and specifically the "'I am he!'" more prosaically, but looking at the original Greek made me realize that this "ἐγώ εἰμι" is a reference to Exodus 3:14 where God says to Moses, "'I AM WHO I AM.'" Jesus takes up this title multiple times in John's Gospel ("I am the bread of life," "I am the Good Shepherd," "I am the way, and the truth, and the life," "I am the vine," et cetera), but the "many" described here claim it falsely.
