204006 has 24 divisors (see below), whose sum is σ = 450072. Its totient is φ = 61600.

The previous prime is 203999. The next prime is 204007. The reversal of 204006 is 600402.

It is a junction number, because it is equal to n+sod(n) for n = 203982 and 204000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204007) 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, 586 + ... + 866.

It is an arithmetic number, because the mean of its divisors is an integer number (18753).

2²⁰⁴⁰⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225036).

204006 is an abundant number, since it is smaller than the sum of its proper divisors (246066).

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

204006 is a wasteful number, since it uses less digits than its factorization.

204006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 204006 is about 451.6702336883. The cubic root of 204006 is about 58.8682302970.

Adding to 204006 its reverse (600402), we get a palindrome (804408).

The spelling of 204006 in words is "two hundred four thousand, six".