204560640 has 180 divisors, whose sum is σ = 732326364. Its totient is φ = 54521856.

The previous prime is 204560639. The next prime is 204560647. The reversal of 204560640 is 46065402.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 58247424 + 146313216 = 7632^2 + 12096^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (204560647) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102694 + ... + 104666.

Almost surely, 2^204560640 is an apocalyptic number.

204560640 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 204560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366163182).

204560640 is an abundant number, since it is smaller than the sum of its proper divisors (527765724).

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

204560640 is an equidigital number, since it uses as much as digits as its factorization.

204560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 204560640 is about 14302.4697168007. The cubic root of 204560640 is about 589.2153122978.

The spelling of 204560640 in words is "two hundred four million, five hundred sixty thousand, six hundred forty".