205606540 has 24 divisors (see below), whose sum is σ = 435970080. Its totient is φ = 81443328.

The previous prime is 205606537. The next prime is 205606561. The reversal of 205606540 is 45606502.

It is a junction number, because it is equal to n+sod(n) for n = 205606499 and 205606508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47845 + ... + 51964.

It is an arithmetic number, because the mean of its divisors is an integer number (18165420).

Almost surely, 2^205606540 is an apocalyptic number.

205606540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205606540 is an abundant number, since it is smaller than the sum of its proper divisors (230363540).

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

205606540 is a wasteful number, since it uses less digits than its factorization.

205606540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99921 (or 99919 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 205606540 is about 14338.9867145486. The cubic root of 205606540 is about 590.2178071636.

The spelling of 205606540 in words is "two hundred five million, six hundred six thousand, five hundred forty".