This marks the first appearance of Egghead on the program. While no such character exists in the DC universe, Egghead was a longtime Marvel character who fought various members of the Avengers.
In this episode Edward Everett Horton portrays Chief Screaming Chicken. This was a sly nod to his character Roaring Chicken on the TV show F Troop (1965). During their network runs the two shows appeared back to back on Thursday nights.
Egghead's gang members Benedict, Foo Yung and Miss Bacon all have egg related names. Additionally, the two men are balding, although not completely bald like Egghead himself.
Egghead calls the mind-reading machine he puts Bruce Wayne in an electro thought transfer. In The Man from U.N.C.L.E. episode The Foxes and Hounds Affair from 1965, Vincent Price guest stars as Victor Marton of Thrush, trying to get at a similar mind-reading device: the electronic thought translator.
When Bruce Wayne says "I had to buy a whole raccoon coat from a very popular crooner from the 1920's who had fallen on hard times." He is referring to Rudy Vallée.