Why is healthsouth taking the encompass name? The company chose the Encompass Health moniker because it "encompassed," if you will, both business segments. It also represented the company's mission to deliver high-quality, cost-effective, integrated care. Encompass Health Corporation visits the New York Stock Exchange to highlight their rebrand and name change from HealthSouth.What is encompass healthcare? Encompass Health is a behavioral health clinic housing experienced and well-trained professionals dedicated to providing top-quality empirically supported evaluations and interventions to those in Northwest Arkansas and the surrounding area.What is the phone number for the health department? The customer support phone number of AIM Specialty Health is 847 564.8500 / fax:773.864.4601 (Click phone number to call).What is the phone number for the healthcare marketplace? Phone Number of Health Insurance Marketplace is 1-800-318-2596 . Health Insurance Marketplace is one of the leading organization that render financial support to their Users for making their future secure by providing them with different Medical insurance policies.