206664384 has 112 divisors (see below), whose sum is σ = 581997312. Its totient is φ = 64576512.

The previous prime is 206664323. The next prime is 206664391. The reversal of 206664384 is 483466602.

It is a super-2 number, since 2×206664384² = 85420335228198912, which contains 22 as substring.

It is an unprimeable number.

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, 233607 + ... + 234489.

Almost surely, 2^206664384 is an apocalyptic number.

206664384 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 206664384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290998656).

206664384 is an abundant number, since it is smaller than the sum of its proper divisors (375332928).

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

206664384 is a wasteful number, since it uses less digits than its factorization.

206664384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 206664384 is about 14375.8263762470. The cubic root of 206664384 is about 591.2282981127.

The spelling of 206664384 in words is "two hundred six million, six hundred sixty-four thousand, three hundred eighty-four".