When Christine (Samantha Eggar) backs out of the taxi after her ride with Steve (Jim Hutton), her hat falls off to the side. In the very next shot, her hat is back on her head again, with her hand holding it in place.
At the race, the announcer says an Australian race-walker took 9th place with a time of 4 hours 53 minutes. 9th place was actually taken by Charles Sowa of Luxembourg with 4:20:37.2. 4:53:00 would have taken 28th place.
At the race, Julius says the fastest time for the 50 km race-walk is "four hours and fifty-three minutes." At the time of the 1964 Olympics, the men's 50 km race-walk world record was actually 4:00:50. (At the time of the film's release, the record was 3:55:36.)