206512768 has 128 divisors (see below), whose sum is σ = 535818240. Its totient is φ = 76876800.

The previous prime is 206512759. The next prime is 206512769. The reversal of 206512768 is 867215602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206512769) 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, 226233 + ... + 227143.

It is an arithmetic number, because the mean of its divisors is an integer number (4186080).

Almost surely, 2^206512768 is an apocalyptic number.

206512768 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 206512768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267909120).

206512768 is an abundant number, since it is smaller than the sum of its proper divisors (329305472).

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

206512768 is a wasteful number, since it uses less digits than its factorization.

206512768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 206512768 is about 14370.5521118710. The cubic root of 206512768 is about 591.0836810323.

The spelling of 206512768 in words is "two hundred six million, five hundred twelve thousand, seven hundred sixty-eight".