8201820 has 144 divisors (see below), whose sum is σ = 27232128. Its totient is φ = 1827840.

The previous prime is 8201819. The next prime is 8201821. The reversal of 8201820 is 281028.

It is an interprime number because it is at equal distance from previous prime (8201819) and next prime (8201821).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8201821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190719 + ... + 190761.

It is an arithmetic number, because the mean of its divisors is an integer number (189112).

Almost surely, 2^8201820 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 8201820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13616064).

8201820 is an abundant number, since it is smaller than the sum of its proper divisors (19030308).

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

8201820 is a wasteful number, since it uses less digits than its factorization.

8201820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 8201820 is about 2863.8819808086. The cubic root of 8201820 is about 201.6678854589.

Adding to 8201820 its reverse (281028), we get a palindrome (8482848).

The spelling of 8201820 in words is "eight million, two hundred one thousand, eight hundred twenty".