206066430 has 112 divisors (see below), whose sum is σ = 580776480. Its totient is φ = 52519104.

The previous prime is 206066429. The next prime is 206066437. The reversal of 206066430 is 34660602.

206066430 is a `hidden beast` number, since 20 + 606 + 6 + 4 + 30 = 666.

206066430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 206066394 and 206066403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206066437) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 167056 + ... + 168284.

Almost surely, 2^206066430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206066430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290388240).

206066430 is an abundant number, since it is smaller than the sum of its proper divisors (374710050).

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

206066430 is a wasteful number, since it uses less digits than its factorization.

206066430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 206066430 is about 14355.0141065761. The cubic root of 206066430 is about 590.6575356227.

The spelling of 206066430 in words is "two hundred six million, sixty-six thousand, four hundred thirty".