distinguishable has 1 distinct synonym spread across 1 of its 2 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. Its one recorded opposite is indistinguishable.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
capable of being perceived as different or distinct
“only the shine of their metal was distinguishable in the gloom”
(often followed by `from') not alike; different in nature or quality
“plants of several distinct types”
Synonyms, antonyms and the broader and narrower relations for distinguishable come from Princeton University’s WordNet. Full sources and licences.