204624 has 90 divisors (see below), whose sum is σ = 689130. Its totient is φ = 56448.

The previous prime is 204623. The next prime is 204641. The reversal of 204624 is 426402.

204624 = T₁₀₄ + T₁₀₅ + ... + T₁₃₂.

204624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 176400 + 28224 = 420^2 + 168^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 204597 and 204606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204623) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7042 + ... + 7070.

It is an arithmetic number, because the mean of its divisors is an integer number (7657).

2²⁰⁴⁶²⁴ is an apocalyptic number.

204624 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 204624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344565).

204624 is an abundant number, since it is smaller than the sum of its proper divisors (484506).

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

204624 is a wasteful number, since it uses less digits than its factorization.

204624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 204624 is about 452.3538437993. The cubic root of 204624 is about 58.9276139947.

It can be divided in two parts, 204 and 624, that added together give a palindrome (828).

The spelling of 204624 in words is "two hundred four thousand, six hundred twenty-four".