36580 has 24 divisors (see below), whose sum is σ = 80640. Its totient is φ = 13920.

The previous prime is 36571. The next prime is 36583. The reversal of 36580 is 8563.

36580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36580.

It is not an unprimeable number, because it can be changed into a prime (36583) by changing a digit.

36580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 591 + ... + 649.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

2³⁶⁵⁸⁰ 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 36580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320).

36580 is an abundant number, since it is smaller than the sum of its proper divisors (44060).

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

36580 is a wasteful number, since it uses less digits than its factorization.

36580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 36580 is about 191.2589867170. The cubic root of 36580 is about 33.1956543400.

It can be divided in two parts, 36 and 580, that added together give a palindrome (616).

The spelling of 36580 in words is "thirty-six thousand, five hundred eighty".