10820 has 12 divisors (see below), whose sum is σ = 22764. Its totient is φ = 4320.

The previous prime is 10799. The next prime is 10831. The reversal of 10820 is 2801.

It can be written as a sum of positive squares in 2 ways, for example, as 4096 + 6724 = 64^2 + 82^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10820.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 251 + ... + 290.

It is an arithmetic number, because the mean of its divisors is an integer number (1897).

2¹⁰⁸²⁰ is an apocalyptic number.

10820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10820 is an abundant number, since it is smaller than the sum of its proper divisors (11944).

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 (11382).

10820 is a wasteful number, since it uses less digits than its factorization.

10820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 10820 is about 104.0192289916. The cubic root of 10820 is about 22.1178251390.

It can be divided in two parts, 108 and 20, that added together give a 7-th power (128 = 2⁷).

The spelling of 10820 in words is "ten thousand, eight hundred twenty".