206380 has 24 divisors (see below), whose sum is σ = 459648. Its totient is φ = 77568.

The previous prime is 206369. The next prime is 206383. The reversal of 206380 is 83602.

It is not an unprimeable number, because it can be changed into a prime (206383) 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, 37 + ... + 643.

It is an arithmetic number, because the mean of its divisors is an integer number (19152).

2²⁰⁶³⁸⁰ is an apocalyptic number.

206380 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 206380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229824).

206380 is an abundant number, since it is smaller than the sum of its proper divisors (253268).

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

206380 is a wasteful number, since it uses less digits than its factorization.

206380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 206380 is about 454.2906558581. The cubic root of 206380 is about 59.0956983746.

Adding to 206380 its reverse (83602), we get a palindrome (289982).

It can be divided in two parts, 20 and 6380, that added together give a square (6400 = 80²).

The spelling of 206380 in words is "two hundred six thousand, three hundred eighty".