206880968 has 64 divisors (see below), whose sum is σ = 470630400. Its totient is φ = 83280960.

The previous prime is 206880967. The next prime is 206880979. The reversal of 206880968 is 869088602.

206880968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (206880967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134363 + ... + 135893.

It is an arithmetic number, because the mean of its divisors is an integer number (7353600).

Almost surely, 2^206880968 is an apocalyptic number.

206880968 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 206880968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235315200).

206880968 is an abundant number, since it is smaller than the sum of its proper divisors (263749432).

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

206880968 is a wasteful number, since it uses less digits than its factorization.

206880968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The square root of 206880968 is about 14383.3573271333. The cubic root of 206880968 is about 591.4347614955.

The spelling of 206880968 in words is "two hundred six million, eight hundred eighty thousand, nine hundred sixty-eight".