208280 has 32 divisors (see below), whose sum is σ = 483840. Its totient is φ = 80640.

The previous prime is 208279. The next prime is 208283. The reversal of 208280 is 82802.

208280 = 6² + 7² + ... + 85².

208280 is digitally balanced in base 2, 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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208283) 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, 1577 + ... + 1703.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2²⁰⁸²⁸⁰ is an apocalyptic number.

208280 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 208280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920).

208280 is an abundant number, since it is smaller than the sum of its proper divisors (275560).

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

208280 is a wasteful number, since it uses less digits than its factorization.

208280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 208280 is about 456.3770371086. The cubic root of 208280 is about 59.2764959504.

It can be divided in two parts, 20 and 8280, that multiplied together give a triangular number (165600 = T₅₇₅).

The spelling of 208280 in words is "two hundred eight thousand, two hundred eighty".