208720 has 20 divisors (see below), whose sum is σ = 485460. Its totient is φ = 83456.

The previous prime is 208699. The next prime is 208721. The reversal of 208720 is 27802.

208720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 87616 + 121104 = 296^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1225 + ... + 1384.

It is an arithmetic number, because the mean of its divisors is an integer number (24273).

2²⁰⁸⁷²⁰ is an apocalyptic number.

208720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

208720 is an abundant number, since it is smaller than the sum of its proper divisors (276740).

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

208720 is a wasteful number, since it uses less digits than its factorization.

208720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 208720 is about 456.8588403435. The cubic root of 208720 is about 59.3182079304.

The spelling of 208720 in words is "two hundred eight thousand, seven hundred twenty".