Yes, a cockroach is an invertebrate because it lacks a backbone, which is characteristic of insects within the phylum Arthropoda.
Cockroaches are classified scientifically as insects belonging to the order Blattodea within the class Insecta and phylum Arthropoda.
A cockroach is an insect, characterized by a segmented body with three main parts, six legs, antennae, and chewing mouthparts, classified under the order Blattodea.
A cockroach is an insect, not a rodent; rodents are mammals with backbones, whereas cockroaches are invertebrate insects.