8201686220 has 96 divisors (see below), whose sum is σ = 21229772928. Its totient is φ = 2591834112.

The previous prime is 8201686189. The next prime is 8201686223. The reversal of 8201686220 is 226861028.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (8201686223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1374764 + ... + 1380716.

It is an arithmetic number, because the mean of its divisors is an integer number (221143468).

Almost surely, 2^8201686220 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 8201686220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10614886464).

8201686220 is an abundant number, since it is smaller than the sum of its proper divisors (13028086708).

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

8201686220 is a wasteful number, since it uses less digits than its factorization.

8201686220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6739 (or 6737 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 8201686220 is about 90563.1614951687. The cubic root of 8201686220 is about 2016.6678898368.

The spelling of 8201686220 in words is "eight billion, two hundred one million, six hundred eighty-six thousand, two hundred twenty".