206985768 has 64 divisors (see below), whose sum is σ = 569764800. Its totient is φ = 62138880.

The previous prime is 206985719. The next prime is 206985781. The reversal of 206985768 is 867589602.

It is a Cunningham number, because it is equal to 14387²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 206985768.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25180 + ... + 32372.

It is an arithmetic number, because the mean of its divisors is an integer number (8902575).

Almost surely, 2^206985768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206985768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284882400).

206985768 is an abundant number, since it is smaller than the sum of its proper divisors (362779032).

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

206985768 is a wasteful number, since it uses less digits than its factorization.

206985768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7322 (or 7318 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 206985768 is about 14386.9999652464. Note that the first 4 decimals coincide. The cubic root of 206985768 is about 591.5346126327.

The spelling of 206985768 in words is "two hundred six million, nine hundred eighty-five thousand, seven hundred sixty-eight".