Continuity mistake: Austin Powers holds 8 cigarettes in his hand, then next shot he lights 7 cigarettes in his mouth. (01:12:37)
Audio problem: When the Fembots have Austin and are feeling him all over. One stands over him and we hear the sound of a zipper yet their outfits lack this, and none of them went for his pants.
Continuity mistake: During Austin's dance with the fembots, one of them shows a spring popping out of the side of her head, while another shows her head spouting flames from the top. A few moments later, the heads start blowing up. The spring is miraculously gone, as well as the flames.
Factual error: When Austin rounds the corner of the London street leading the band and the dancers, a large, white warehouse-looking building is reflected in the right front fender of a blue car at the lower left of the screen. Not a 60s London building - most likely it is a building on the studio lot.
Answer: I Touch Myself by the DiVinyls.
Grumpy Scot