206913168 has 120 divisors (see below), whose sum is σ = 721995456. Its totient is φ = 53740800.

The previous prime is 206913131. The next prime is 206913199. The reversal of 206913168 is 861319602.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 23 ways as a sum of consecutive naturals, for example, 1758 + ... + 20418.

Almost surely, 2^206913168 is an apocalyptic number.

206913168 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 206913168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360997728).

206913168 is an abundant number, since it is smaller than the sum of its proper divisors (515082288).

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

206913168 is a wasteful number, since it uses less digits than its factorization.

206913168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18693 (or 18684 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 206913168 is about 14384.4766328150. The cubic root of 206913168 is about 591.4654445360.

The spelling of 206913168 in words is "two hundred six million, nine hundred thirteen thousand, one hundred sixty-eight".