I want to use
I couldn't find any Android 24 when I try to update my SDK from Android Studio;
24 is an API level. It corresponds with Android 7.0.
is there any drawback of compiling using Android 24?
Is it already stable?
It is neither "stable" nor "not stable". It is a JAR exposing a set of symbols that you can compile against, whether the real implementation of the classes, methods, etc. are provided by the framework JAR on the device or emulator.
Btw I've already added
compile 'com.android.support:support-v4:24.0.0'in my gradle
I recommend raising that to the most current version, which IIRC at this moment is 24.2.1.