You can now install Outlook for iOS as an alternative to the iOS Mail application

Instructions on how to install the application can be found here

Key Features include

1. Support for Microsoft Exchange,Office 365, Outlook mail, Google, iCloud, and Yahoo mail accounts

2. Calendar integration to the app

3. Attach items from Google Drive, OneDrive, Dropbox, and Box

4. Schedule emails to return to your inbox at a later time

5. Focused inbox view which means Outlook only show things it thinks are important to you, lesser email goes into your “other” inbox

Download it for free now and see if you like it.