206126064 has 60 divisors (see below), whose sum is σ = 585020592. Its totient is φ = 67737600.

The previous prime is 206126059. The next prime is 206126077. The reversal of 206126064 is 460621602.

It is a happy number.

206126064 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144 + ... + 20304.

Almost surely, 2^206126064 is an apocalyptic number.

206126064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206126064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292510296).

206126064 is an abundant number, since it is smaller than the sum of its proper divisors (378894528).

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

206126064 is a wasteful number, since it uses less digits than its factorization.

206126064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20246 (or 20237 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 206126064 is about 14357.0910702691. The cubic root of 206126064 is about 590.7145073384.

Adding to 206126064 its reverse (460621602), we get a palindrome (666747666).

The spelling of 206126064 in words is "two hundred six million, one hundred twenty-six thousand, sixty-four".