36620 has 12 divisors (see below), whose sum is σ = 76944. Its totient is φ = 14640.

The previous prime is 36607. The next prime is 36629. The reversal of 36620 is 2663.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36620.

It is not an unprimeable number, because it can be changed into a prime (36629) by changing a digit.

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, 896 + ... + 935.

It is an arithmetic number, because the mean of its divisors is an integer number (6412).

2³⁶⁶²⁰ is an apocalyptic number.

It is an amenable number.

36620 is an abundant number, since it is smaller than the sum of its proper divisors (40324).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38472).

36620 is a wasteful number, since it uses less digits than its factorization.

36620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 36620 is about 191.3635283956. The cubic root of 36620 is about 33.2077496788.

It can be divided in two parts, 36 and 620, that added together give a palindrome (656).

The spelling of 36620 in words is "thirty-six thousand, six hundred twenty".