206409168 has 200 divisors, whose sum is σ = 694648000. Its totient is φ = 58677696.

The previous prime is 206409157. The next prime is 206409173. The reversal of 206409168 is 861904602.

206409168 is a `hidden beast` number, since 2 + 0 + 640 + 9 + 1 + 6 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1037133 + ... + 1037331.

It is an arithmetic number, because the mean of its divisors is an integer number (3473240).

Almost surely, 2^206409168 is an apocalyptic number.

206409168 is a gapful number since it is divisible by the number (28) 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 206409168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347324000).

206409168 is an abundant number, since it is smaller than the sum of its proper divisors (488238832).

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

206409168 is an equidigital number, since it uses as much as digits as its factorization.

206409168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 206409168 is about 14366.9470660958. The cubic root of 206409168 is about 590.9848227183.

The spelling of 206409168 in words is "two hundred six million, four hundred nine thousand, one hundred sixty-eight".