206656416 has 144 divisors (see below), whose sum is σ = 616412160. Its totient is φ = 65594880.

The previous prime is 206656397. The next prime is 206656423. The reversal of 206656416 is 614656602.

It is a happy number.

206656416 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 5 + 641 + 6 = 666.

206656416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 705166 + ... + 705458.

It is an arithmetic number, because the mean of its divisors is an integer number (4280640).

Almost surely, 2^206656416 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 206656416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308206080).

206656416 is an abundant number, since it is smaller than the sum of its proper divisors (409755744).

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

206656416 is a wasteful number, since it uses less digits than its factorization.

206656416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 206656416 is about 14375.5492416812. The cubic root of 206656416 is about 591.2206996939.

The spelling of 206656416 in words is "two hundred six million, six hundred fifty-six thousand, four hundred sixteen".