204642032 has 60 divisors (see below), whose sum is σ = 463180176. Its totient is φ = 87588480.

The previous prime is 204642013. The next prime is 204642037. The reversal of 204642032 is 230246402.

204642032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×204642032² = 83756722522178048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 204641989 and 204642007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204642037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268532 + ... + 269292.

Almost surely, 2^204642032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204642032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231590088).

204642032 is an abundant number, since it is smaller than the sum of its proper divisors (258538144).

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

204642032 is an frugal number, since it uses more digits than its factorization.

204642032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 204642032 is about 14305.3148165289. The cubic root of 204642032 is about 589.2934489546.

Adding to 204642032 its reverse (230246402), we get a palindrome (434888434).

The spelling of 204642032 in words is "two hundred four million, six hundred forty-two thousand, thirty-two".