206066020 has 36 divisors (see below), whose sum is σ = 456729084. Its totient is φ = 78085440.

The previous prime is 206065997. The next prime is 206066033. The reversal of 206066020 is 20660602.

206066020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 61873956 + 144192064 = 7866^2 + 12008^2 .

It is a junction number, because it is equal to n+sod(n) for n = 206065982 and 206066000.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7051 + ... + 21490.

It is an arithmetic number, because the mean of its divisors is an integer number (12686919).

Almost surely, 2^206066020 is an apocalyptic number.

206066020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206066020 is an abundant number, since it is smaller than the sum of its proper divisors (250663064).

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

206066020 is a wasteful number, since it uses less digits than its factorization.

206066020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28588 (or 28567 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 206066020 is about 14354.9998258447. Note that the first 3 decimals coincide. The cubic root of 206066020 is about 590.6571438885.

The spelling of 206066020 in words is "two hundred six million, sixty-six thousand, twenty".