"Umgekehrt" normally refers to a text previous to your sentence and is simlilar to "Im Gegensatz dazu" (by contrast). So you need the prior sentence:
Das KaDeWe gehört zu Berlin wie das Brandenburger Tor, die
Gedächtniskirche und der Fernsehturm. Umgekehrt prägen Berliner Luft,
Pariser Duft und das besondere Flair der Metropole das Image unseres
Hauses.
This means that on the one hand the KaDeWe is a landmark of Berlin and on the other hand Berlins characteristic traits influence the image of the KaDeWe.
In this case "Umgekehrt" is more like "vice versa" or "reversely", because both (Berlin and KaDeWe) influence each other (in both directions).