36820 has 24 divisors (see below), whose sum is σ = 88704. Its totient is φ = 12576.

The previous prime is 36809. The next prime is 36821. The reversal of 36820 is 2863.

36820 is nontrivially palindromic in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36821) by changing a digit.

36820 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, 9 + ... + 271.

It is an arithmetic number, because the mean of its divisors is an integer number (3696).

2³⁶⁸²⁰ 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 36820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44352).

36820 is an abundant number, since it is smaller than the sum of its proper divisors (51884).

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

36820 is a wasteful number, since it uses less digits than its factorization.

36820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 36820 is about 191.8853824553. The cubic root of 36820 is about 33.2680946228.

The spelling of 36820 in words is "thirty-six thousand, eight hundred twenty".