36520 has 32 divisors (see below), whose sum is σ = 90720. Its totient is φ = 13120.

The previous prime is 36497. The next prime is 36523. The reversal of 36520 is 2563.

36520 is nontrivially palindromic in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 36494 and 36503.

It is not an unprimeable number, because it can be changed into a prime (36523) by changing a digit.

36520 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 399 + ... + 481.

It is an arithmetic number, because the mean of its divisors is an integer number (2835).

2³⁶⁵²⁰ 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 36520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360).

36520 is an abundant number, since it is smaller than the sum of its proper divisors (54200).

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

36520 is a wasteful number, since it uses less digits than its factorization.

36520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 36520 is about 191.1020669695. The cubic root of 36520 is about 33.1774947880.

The spelling of 36520 in words is "thirty-six thousand, five hundred twenty".