206290080 has 72 divisors (see below), whose sum is σ = 703969812. Its totient is φ = 55010304.

The previous prime is 206290067. The next prime is 206290103. The reversal of 206290080 is 80092602.

It can be written as a sum of positive squares in 2 ways, for example, as 170145936 + 36144144 = 13044^2 + 6012^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 70189 + ... + 73068.

Almost surely, 2^206290080 is an apocalyptic number.

206290080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206290080 is an abundant number, since it is smaller than the sum of its proper divisors (497679732).

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

206290080 is a wasteful number, since it uses less digits than its factorization.

206290080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143278 (or 143267 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 206290080 is about 14362.8019550504. The cubic root of 206290080 is about 590.8711444020.

The spelling of 206290080 in words is "two hundred six million, two hundred ninety thousand, eighty".