206304 has 48 divisors (see below), whose sum is σ = 620928. Its totient is φ = 58752.

The previous prime is 206303. The next prime is 206341. The reversal of 206304 is 403602.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×206304² = 85122680832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206303) 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, 519 + ... + 825.

It is an arithmetic number, because the mean of its divisors is an integer number (12936).

2²⁰⁶³⁰⁴ is an apocalyptic number.

206304 is a gapful number since it is divisible by the number (24) 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 206304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310464).

206304 is an abundant number, since it is smaller than the sum of its proper divisors (414624).

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

206304 is a wasteful number, since it uses less digits than its factorization.

206304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 206304 is about 454.2070012670. The cubic root of 206304 is about 59.0884434331.

Adding to 206304 its reverse (403602), we get a palindrome (609906).

The spelling of 206304 in words is "two hundred six thousand, three hundred four".