204555648 has 128 divisors (see below), whose sum is σ = 601228800. Its totient is φ = 61102080.

The previous prime is 204555643. The next prime is 204555649. The reversal of 204555648 is 846555402.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204555643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333390 + ... + 334002.

It is an arithmetic number, because the mean of its divisors is an integer number (4697100).

Almost surely, 2^204555648 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 204555648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300614400).

204555648 is an abundant number, since it is smaller than the sum of its proper divisors (396673152).

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

204555648 is a wasteful number, since it uses less digits than its factorization.

204555648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The square root of 204555648 is about 14302.2952004215. The cubic root of 204555648 is about 589.2105192826.

The spelling of 204555648 in words is "two hundred four million, five hundred fifty-five thousand, six hundred forty-eight".