205540608 has 288 divisors, whose sum is σ = 717002496. Its totient is φ = 50724864.

The previous prime is 205540607. The next prime is 205540631. The reversal of 205540608 is 806045502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205540607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1188010 + ... + 1188182.

It is an arithmetic number, because the mean of its divisors is an integer number (2489592).

Almost surely, 2^205540608 is an apocalyptic number.

205540608 is a gapful number since it is divisible by the number (28) 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 205540608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358501248).

205540608 is an abundant number, since it is smaller than the sum of its proper divisors (511461888).

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

205540608 is a wasteful number, since it uses less digits than its factorization.

205540608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 205540608 is about 14336.6874835158. The cubic root of 205540608 is about 590.1547118931.

The spelling of 205540608 in words is "two hundred five million, five hundred forty thousand, six hundred eight".