206165568 has 112 divisors (see below), whose sum is σ = 627221504. Its totient is φ = 58544640.

The previous prime is 206165551. The next prime is 206165581. The reversal of 206165568 is 865561602.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283221 + ... + 283947.

It is an arithmetic number, because the mean of its divisors is an integer number (5600192).

Almost surely, 2^206165568 is an apocalyptic number.

206165568 is a gapful number since it is divisible by the number (28) 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 206165568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313610752).

206165568 is an abundant number, since it is smaller than the sum of its proper divisors (421055936).

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

206165568 is a wasteful number, since it uses less digits than its factorization.

206165568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 206165568 is about 14358.4667705156. The cubic root of 206165568 is about 590.7522416822.

The spelling of 206165568 in words is "two hundred six million, one hundred sixty-five thousand, five hundred sixty-eight".