205232560 has 40 divisors (see below), whose sum is σ = 513873360. Its totient is φ = 75777792.

The previous prime is 205232549. The next prime is 205232561. The reversal of 205232560 is 65232502.

205232560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (205232561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97630 + ... + 99709.

It is an arithmetic number, because the mean of its divisors is an integer number (12846834).

Almost surely, 2^205232560 is an apocalyptic number.

205232560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205232560 is an abundant number, since it is smaller than the sum of its proper divisors (308640800).

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

205232560 is a wasteful number, since it uses less digits than its factorization.

205232560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197365 (or 197359 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 205232560 is about 14325.9401087677. The cubic root of 205232560 is about 589.8597387543.

The spelling of 205232560 in words is "two hundred five million, two hundred thirty-two thousand, five hundred sixty".