208520 has 32 divisors (see below), whose sum is σ = 506520. Its totient is φ = 76800.

The previous prime is 208519. The next prime is 208529. The reversal of 208520 is 25802.

It is a happy number.

208520 is digitally balanced in base 3, 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 4 ways, for example, as 188356 + 20164 = 434^2 + 142^2 .

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 208520.

It is not an unprimeable number, because it can be changed into a prime (208529) 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, 320 + ... + 720.

2²⁰⁸⁵²⁰ is an apocalyptic number.

208520 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 208520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253260).

208520 is an abundant number, since it is smaller than the sum of its proper divisors (298000).

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

208520 is a wasteful number, since it uses less digits than its factorization.

208520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 208520 is about 456.6399018921. The cubic root of 208520 is about 59.2992552139.

The spelling of 208520 in words is "two hundred eight thousand, five hundred twenty".