206000880 has 160 divisors (see below), whose sum is σ = 677528064. Its totient is φ = 51667968.

The previous prime is 206000863. The next prime is 206000881. The reversal of 206000880 is 88000602.

206000880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 206000880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206000881) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 369562 + ... + 370118.

Almost surely, 2^206000880 is an apocalyptic number.

206000880 is a gapful number since it is divisible by the number (20) 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 206000880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338764032).

206000880 is an abundant number, since it is smaller than the sum of its proper divisors (471527184).

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

206000880 is a wasteful number, since it uses less digits than its factorization.

206000880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 206000880 is about 14352.7307506272. The cubic root of 206000880 is about 590.5948993366.

The spelling of 206000880 in words is "two hundred six million, eight hundred eighty", and thus it is an aban number.