206434656 has 120 divisors (see below), whose sum is σ = 615999384. Its totient is φ = 67806720.

The previous prime is 206434651. The next prime is 206434681. The reversal of 206434656 is 656434602.

206434656 is a `hidden beast` number, since 2 + 0 + 643 + 4 + 6 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 206434656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206434651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 188671 + ... + 189761.

Almost surely, 2^206434656 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 206434656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307999692).

206434656 is an abundant number, since it is smaller than the sum of its proper divisors (409564728).

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

206434656 is a wasteful number, since it uses less digits than its factorization.

206434656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 206434656 is about 14367.8340747658. The cubic root of 206434656 is about 591.0091472211.

The spelling of 206434656 in words is "two hundred six million, four hundred thirty-four thousand, six hundred fifty-six".