Been taking some pictures with my trusty old Nikon CP990 lately. I've noticed that pictures taken down to 1/15 to 1/30 s are still sharp, much more so than those taken at those speeds with my D30. Movement blur, however, is still much the same, so you get many pictures with a sharp background and motion blur.
At first I suspected that there was some software image stabilization going on, but then I realized that it was much simpler than that. The CCD is small, and the real focal length of the lens is 8-24mm (effective 38-115mm in 35mm terms). This means that using the reciprocal rule, you can easily handhold down to 1/8s without camera shake!
Another trick I've learnt recently is to set exposure compensation to -2 at ISO 400. This effectively gives me ISO 1600, after "pushing" the image digitally. The autofocus seems to work better, too, even in low light, when the exposure compensation is set to -2. Of course, this will significantly reduce colour contrast and increase noise, but that's OK if you plan to end up with B&W images anyway.