36320 has 24 divisors (see below), whose sum is σ = 86184. Its totient is φ = 14464.

The previous prime is 36319. The next prime is 36341. The reversal of 36320 is 2363.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 36295 and 36304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47 + ... + 273.

It is an arithmetic number, because the mean of its divisors is an integer number (3591).

2³⁶³²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43092).

36320 is an abundant number, since it is smaller than the sum of its proper divisors (49864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36320 is a wasteful number, since it uses less digits than its factorization.

36320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 36320 is about 190.5780679931. The cubic root of 36320 is about 33.1168189123.

Adding to 36320 its reverse (2363), we get a palindrome (38683).

It can be divided in two parts, 363 and 20, that multiplied together give a triangular number (7260 = T₁₂₀).

The spelling of 36320 in words is "thirty-six thousand, three hundred twenty".