206646220 has 72 divisors (see below), whose sum is σ = 505153152. Its totient is φ = 70709760.

The previous prime is 206646149. The next prime is 206646229. The reversal of 206646220 is 22646602.

It is not an unprimeable number, because it can be changed into a prime (206646229) 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 23 ways as a sum of consecutive naturals, for example, 38629 + ... + 43651.

It is an arithmetic number, because the mean of its divisors is an integer number (7016016).

Almost surely, 2^206646220 is an apocalyptic number.

206646220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206646220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252576576).

206646220 is an abundant number, since it is smaller than the sum of its proper divisors (298506932).

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

206646220 is a wasteful number, since it uses less digits than its factorization.

206646220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5071 (or 5058 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 206646220 is about 14375.1946073784. The cubic root of 206646220 is about 591.2109763319.

The spelling of 206646220 in words is "two hundred six million, six hundred forty-six thousand, two hundred twenty".