208680 has 64 divisors (see below), whose sum is σ = 656640. Its totient is φ = 52992.

The previous prime is 208673. The next prime is 208687. The reversal of 208680 is 86802.

208680 = T₃₅ + T₃₆ + ... + T₁₀₈.

208680 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (208673) and next prime (208687).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 208680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208687) by changing a digit.

208680 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 15 ways as a sum of consecutive naturals, for example, 4417 + ... + 4463.

It is an arithmetic number, because the mean of its divisors is an integer number (10260).

2²⁰⁸⁶⁸⁰ is an apocalyptic number.

208680 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 208680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328320).

208680 is an abundant number, since it is smaller than the sum of its proper divisors (447960).

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

208680 is a wasteful number, since it uses less digits than its factorization.

208680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 208680 is about 456.8150610477. The cubic root of 208680 is about 59.3144183560.

It can be divided in two parts, 208 and 680, that added together give a palindrome (888).

The spelling of 208680 in words is "two hundred eight thousand, six hundred eighty".