Language Accessory Pack for Office 2016 fails to install on 64-bit Office

Although the official site states the following:

"The language accessory pack files that are available for download in the table below, can be installed on either 32-bit or 64-bit versions of Office 2016."

When the English language pack is downloaded, I receive the following file setuplanguagepack.x86.en-us_.exe, which fails to install on a 64-bit Volume Licensing Office 2016 installation with the following message:

We're sorry, Office (32-bit) couldn'T be installed because you have these 64-bit Office programes installed on your computer:

Microsoft Office 32-bit Components

2016 Microsoft Office Professional Plus 2016

Is this a bug or I am doing anything wrong?

I had gotten into similar problem and got rid of it using the solution on this Office 2016 language packs download page. Here's the solution,

Since you have installed 32-bit and 64-bit components of Office 2016 together, you will need to uninstall either one of them. The safest way is to uninstall Office 2016 completely and install one version. Do not use setup.exe provided in the Microsoft Office 2016 DVD. Instead, open the "Office" folder and run setup32.exe or setup64.exe appropriately.

After the clean installation, you should be able to install the language pack without any problems.