204680 has 64 divisors (see below), whose sum is σ = 570240. Its totient is φ = 64512.

The previous prime is 204679. The next prime is 204707. The reversal of 204680 is 86402.

204680 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4739 + ... + 4781.

It is an arithmetic number, because the mean of its divisors is an integer number (8910).

2²⁰⁴⁶⁸⁰ is an apocalyptic number.

204680 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 204680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285120).

204680 is an abundant number, since it is smaller than the sum of its proper divisors (365560).

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

204680 is a wasteful number, since it uses less digits than its factorization.

204680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 204680 is about 452.4157380110. The cubic root of 204680 is about 58.9329891305.

The spelling of 204680 in words is "two hundred four thousand, six hundred eighty".