8201220 has 48 divisors (see below), whose sum is σ = 23405760. Its totient is φ = 2144896.

The previous prime is 8201213. The next prime is 8201233. The reversal of 8201220 is 221028.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 8201220.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1891 + ... + 4469.

It is an arithmetic number, because the mean of its divisors is an integer number (487620).

Almost surely, 2^8201220 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 8201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11702880).

8201220 is an abundant number, since it is smaller than the sum of its proper divisors (15204540).

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

8201220 is a wasteful number, since it uses less digits than its factorization.

8201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 8201220 is about 2863.7772259727. Note that the first 3 decimals coincide. The cubic root of 8201220 is about 201.6629677015.

Adding to 8201220 its reverse (221028), we get a palindrome (8422248).

The spelling of 8201220 in words is "eight million, two hundred one thousand, two hundred twenty".