I don't have permission to work.
As a lawfully admitted noncitizen, you still have many benefits without having a social security number. You can do business with a bank, obatin private health insurance, apply for educational test, etc.
tell me abbout M-1 students.
for M-1 students, they need to show Social Security their I-20 Certificate of Eligibility for Nonimmigrant Student Status to show their immigration status.