206880000 has 180 divisors, whose sum is σ = 689629248. Its totient is φ = 55040000.

The previous prime is 206879989. The next prime is 206880007. The reversal of 206880000 is 88602.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206880007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 479785 + ... + 480215.

Almost surely, 2^206880000 is an apocalyptic number.

206880000 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 206880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344814624).

206880000 is an abundant number, since it is smaller than the sum of its proper divisors (482749248).

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

206880000 is an frugal number, since it uses more digits than its factorization.

206880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 441 counting only the distinct ones).

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

The square root of 206880000 is about 14383.3236770922. The cubic root of 206880000 is about 591.4338390492.

The spelling of 206880000 in words is "two hundred six million, eight hundred eighty thousand".