Packaging on Android-based devices in Unreal Engine

How to package applications and games for android devices in the Unreal Engine?

Required tools

Java should be installed from Oracle website. Check Official documentation for required Java OpenJDK version.
Android SDK and JDK should be installed through the Android Studio Check Official documentation for required version of individual tools.

Linking tools to Unreal Engine

In Unreal Engine, Edit→Project Settings→Android SDK (Platforms section)

ADB (Android Debug bridge)

Do not forget to have installed adb tool as well.