206864080 has 40 divisors (see below), whose sum is σ = 482449032. Its totient is φ = 82489344.

The previous prime is 206864033. The next prime is 206864081. The reversal of 206864080 is 80468602.

206864080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14653584 + 192210496 = 3828^2 + 13864^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206864081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23124 + ... + 30796.

Almost surely, 2^206864080 is an apocalyptic number.

206864080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206864080 is an abundant number, since it is smaller than the sum of its proper divisors (275584952).

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

206864080 is a wasteful number, since it uses less digits than its factorization.

206864080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8023 (or 8017 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 206864080 is about 14382.7702477652. The cubic root of 206864080 is about 591.4186678255.

The spelling of 206864080 in words is "two hundred six million, eight hundred sixty-four thousand, eighty".