206051664 has 240 divisors, whose sum is σ = 698205312. Its totient is φ = 51803136.

The previous prime is 206051663. The next prime is 206051669. The reversal of 206051664 is 466150602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206051663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 703102 + ... + 703394.

Almost surely, 2^206051664 is an apocalyptic number.

206051664 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 206051664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349102656).

206051664 is an abundant number, since it is smaller than the sum of its proper divisors (492153648).

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

206051664 is a wasteful number, since it uses less digits than its factorization.

206051664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 206051664 is about 14354.4997822982. The cubic root of 206051664 is about 590.6434271343.

The spelling of 206051664 in words is "two hundred six million, fifty-one thousand, six hundred sixty-four".