208240 has 40 divisors (see below), whose sum is σ = 513360. Its totient is φ = 78336.

The previous prime is 208231. The next prime is 208253. The reversal of 208240 is 42802.

208240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

208240 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1452 + ... + 1588.

It is an arithmetic number, because the mean of its divisors is an integer number (12834).

2²⁰⁸²⁴⁰ is an apocalyptic number.

208240 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 208240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256680).

208240 is an abundant number, since it is smaller than the sum of its proper divisors (305120).

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

208240 is a wasteful number, since it uses less digits than its factorization.

208240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 208240 is about 456.3332115900. Note that the first 3 decimals coincide. The cubic root of 208240 is about 59.2727010403.

The spelling of 208240 in words is "two hundred eight thousand, two hundred forty".