204576768 has 144 divisors (see below), whose sum is σ = 645208200. Its totient is φ = 61931520.

The previous prime is 204576761. The next prime is 204576787. The reversal of 204576768 is 867675402.

204576768 is a `hidden beast` number, since 2 + 0 + 4 + 576 + 76 + 8 = 666.

204576768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204576761) 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, 202248 + ... + 203256.

Almost surely, 2^204576768 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 204576768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322604100).

204576768 is an abundant number, since it is smaller than the sum of its proper divisors (440631432).

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

204576768 is a wasteful number, since it uses less digits than its factorization.

204576768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 204576768 is about 14303.0335243961. The cubic root of 204576768 is about 589.2307968909.

It can be divided in two parts, 20457 and 6768, that added together give a square (27225 = 165²).

The spelling of 204576768 in words is "two hundred four million, five hundred seventy-six thousand, seven hundred sixty-eight".