206666016 has 96 divisors (see below), whose sum is σ = 564677568. Its totient is φ = 66124800.

The previous prime is 206665961. The next prime is 206666023. The reversal of 206666016 is 610666602.

It is a tau number, because it is divible by the number of its divisors (96).

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, 294466 + ... + 295166.

It is an arithmetic number, because the mean of its divisors is an integer number (5882058).

Almost surely, 2^206666016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206666016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282338784).

206666016 is an abundant number, since it is smaller than the sum of its proper divisors (358011552).

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

206666016 is a wasteful number, since it uses less digits than its factorization.

206666016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 206666016 is about 14375.8831380893. The cubic root of 206666016 is about 591.2298543912.

The spelling of 206666016 in words is "two hundred six million, six hundred sixty-six thousand, sixteen".