205765660 has 24 divisors (see below), whose sum is σ = 434004480. Its totient is φ = 81945024.

The previous prime is 205765657. The next prime is 205765661. The reversal of 205765660 is 66567502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205765661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17884 + ... + 27043.

It is an arithmetic number, because the mean of its divisors is an integer number (18083520).

Almost surely, 2^205765660 is an apocalyptic number.

205765660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205765660 is an abundant number, since it is smaller than the sum of its proper divisors (228238820).

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

205765660 is a wasteful number, since it uses less digits than its factorization.

205765660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45165 (or 45163 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 205765660 is about 14344.5341506791. The cubic root of 205765660 is about 590.3700254745.

The spelling of 205765660 in words is "two hundred five million, seven hundred sixty-five thousand, six hundred sixty".