206688456 has 64 divisors (see below), whose sum is σ = 618307200. Its totient is φ = 63595584.

The previous prime is 206688437. The next prime is 206688457. The reversal of 206688456 is 654886602.

206688456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (206688457) by changing a digit.

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, 33996 + ... + 39611.

It is an arithmetic number, because the mean of its divisors is an integer number (9661050).

Almost surely, 2^206688456 is an apocalyptic number.

206688456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

206688456 is an abundant number, since it is smaller than the sum of its proper divisors (411618744).

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

206688456 is a wasteful number, since it uses less digits than its factorization.

206688456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73635 (or 73625 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 206688456 is about 14376.6635906945. The cubic root of 206688456 is about 591.2512523905.

The spelling of 206688456 in words is "two hundred six million, six hundred eighty-eight thousand, four hundred fifty-six".