206880 has 48 divisors (see below), whose sum is σ = 653184. Its totient is φ = 55040.

The previous prime is 206879. The next prime is 206887. The reversal of 206880 is 88602.

It is a tau number, because it is divible by the number of its divisors (48).

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 206880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265 + ... + 695.

It is an arithmetic number, because the mean of its divisors is an integer number (13608).

2²⁰⁶⁸⁸⁰ is an apocalyptic number.

206880 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 206880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326592).

206880 is an abundant number, since it is smaller than the sum of its proper divisors (446304).

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

206880 is a wasteful number, since it uses less digits than its factorization.

206880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 441 counting only the distinct ones).

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

The square root of 206880 is about 454.8406314304. The cubic root of 206880 is about 59.1433839049.

The spelling of 206880 in words is "two hundred six thousand, eight hundred eighty".