206331680 has 96 divisors (see below), whose sum is σ = 507523968. Its totient is φ = 79206400.

The previous prime is 206331667. The next prime is 206331701. The reversal of 206331680 is 86133602.

206331680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×206331680³ (a number of 26 digits) contains 333 as substring.

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, 465539 + ... + 465981.

It is an arithmetic number, because the mean of its divisors is an integer number (5286708).

Almost surely, 2^206331680 is an apocalyptic number.

206331680 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 206331680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253761984).

206331680 is an abundant number, since it is smaller than the sum of its proper divisors (301192288).

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

206331680 is a wasteful number, since it uses less digits than its factorization.

206331680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 206331680 is about 14364.2500674417. The cubic root of 206331680 is about 590.9108596540.

The spelling of 206331680 in words is "two hundred six million, three hundred thirty-one thousand, six hundred eighty".