206066320 has 80 divisors (see below), whose sum is σ = 503807040. Its totient is φ = 78285312.

The previous prime is 206066309. The next prime is 206066321. The reversal of 206066320 is 23660602.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (206066321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126471 + ... + 128089.

It is an arithmetic number, because the mean of its divisors is an integer number (6297588).

Almost surely, 2^206066320 is an apocalyptic number.

206066320 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 206066320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251903520).

206066320 is an abundant number, since it is smaller than the sum of its proper divisors (297740720).

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

206066320 is a wasteful number, since it uses less digits than its factorization.

206066320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 206066320 is about 14355.0102751618. The cubic root of 206066320 is about 590.6574305233.

The spelling of 206066320 in words is "two hundred six million, sixty-six thousand, three hundred twenty".