8006220 has 72 divisors (see below), whose sum is σ = 25574640. Its totient is φ = 2021760.

The previous prime is 8006209. The next prime is 8006221. The reversal of 8006220 is 226008.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 8006193 and 8006202.

It is not an unprimeable number, because it can be changed into a prime (8006221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2250 + ... + 4590.

Almost surely, 2^8006220 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 8006220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12787320).

8006220 is an abundant number, since it is smaller than the sum of its proper divisors (17568420).

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

8006220 is a wasteful number, since it uses less digits than its factorization.

8006220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8006220 is about 2829.5264621487. The cubic root of 8006220 is about 200.0518199057.

The spelling of 8006220 in words is "eight million, six thousand, two hundred twenty".