Correlations between each pair of numerical columns can be shown in a correlation matrix. It need not be purely numerical, it can be color coded, to allow for a quick-glance evaluation. Check out corrplot package for R.
For further analysis, Rattle is quite a useful GUI tool.
If you search Stack Exchange using the keywords "corrplot" or rather "Rattle", you will find several topics where these tools and their alternatives are covered. Like this onethis one.
Good luck!