208380 has 48 divisors (see below), whose sum is σ = 612864. Its totient is φ = 52800.

The previous prime is 208379. The next prime is 208387. The reversal of 208380 is 83802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1305 + ... + 1455.

It is an arithmetic number, because the mean of its divisors is an integer number (12768).

2²⁰⁸³⁸⁰ is an apocalyptic number.

208380 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 208380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306432).

208380 is an abundant number, since it is smaller than the sum of its proper divisors (404484).

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

208380 is a wasteful number, since it uses less digits than its factorization.

208380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 208380 is about 456.4865824972. The cubic root of 208380 is about 59.2859811005.

The spelling of 208380 in words is "two hundred eight thousand, three hundred eighty".