Among those, the acrylic lubricating oil additive is excellent in viscosity index improving capability, low-temperature viscosity characteristics, and pour point depressing capability, and hence is widely used for an engine oil (for a gasoline engine or a diesel engine), a drive line oil [a gear oil (a manual transmission oil, a differential oil, or the like), an automatic transmission oil (ATF (Automatic Transmission Fluid), CVTF (Continuously Variable Transmission Fluid), or the like), or the like], a hydraulic oil (a power steering oil, a shock absorber oil, or the like), or the like.