204660 has 48 divisors (see below), whose sum is σ = 638400. Its totient is φ = 54432.

The previous prime is 204641. The next prime is 204667. The reversal of 204660 is 66402.

204660 is a `hidden beast` number, since 2 + 0 + 4 + 660 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351 + ... + 729.

It is an arithmetic number, because the mean of its divisors is an integer number (13300).

2²⁰⁴⁶⁶⁰ is an apocalyptic number.

204660 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 204660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319200).

204660 is an abundant number, since it is smaller than the sum of its proper divisors (433740).

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

204660 is a wasteful number, since it uses less digits than its factorization.

204660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 204660 is about 452.3936339075. The cubic root of 204660 is about 58.9310695517.

It can be divided in two parts, 2046 and 60, that multiplied together give a triangular number (122760 = T₄₉₅).

The spelling of 204660 in words is "two hundred four thousand, six hundred sixty".