208120 has 48 divisors (see below), whose sum is σ = 526680. Its totient is φ = 73920.

The previous prime is 208111. The next prime is 208121. The reversal of 208120 is 21802.

208120 = T₁₈₉ + T₁₉₀ + ... + T₁₉₉.

It is a self number, because there is not a number n which added to its sum of digits gives 208120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4819 + ... + 4861.

2²⁰⁸¹²⁰ is an apocalyptic number.

208120 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 208120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263340).

208120 is an abundant number, since it is smaller than the sum of its proper divisors (318560).

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

208120 is a wasteful number, since it uses less digits than its factorization.

208120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 208120 is about 456.2017097732. The cubic root of 208120 is about 59.2613133933.

Adding to 208120 its reverse (21802), we get a palindrome (229922).

The spelling of 208120 in words is "two hundred eight thousand, one hundred twenty".