A free program for Android, by Team Wayback.

With the help of the Wayback Machine program, you may store webpages on the corresponding digital archive service so that anybody can view them in the future. Whatever Android browser you use, all you have to do is tap the “share” button while on a webpage, then select Wayback Machine. The procedure is completed quickly, and the page is archived.

You should be aware that this app does not actually grant you access to the Wayback Machine. Not even a webview of the Wayback Machine website exists here. Your personal pageviews sent to Wayback Machine will only be used to assist Archive.org. Additionally, it does this job brilliantly.