206385080 has 64 divisors (see below), whose sum is σ = 509366880. Its totient is φ = 74636800.

The previous prime is 206385077. The next prime is 206385119. The reversal of 206385080 is 80583602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85490 + ... + 87870.

Almost surely, 2^206385080 is an apocalyptic number.

206385080 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 206385080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254683440).

206385080 is an abundant number, since it is smaller than the sum of its proper divisors (302981800).

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

206385080 is a wasteful number, since it uses less digits than its factorization.

206385080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 206385080 is about 14366.1087285319. The cubic root of 206385080 is about 590.9618324665.

The spelling of 206385080 in words is "two hundred six million, three hundred eighty-five thousand, eighty".