205032160 has 24 divisors (see below), whose sum is σ = 484388856. Its totient is φ = 82012800.

The previous prime is 205032137. The next prime is 205032169. The reversal of 205032160 is 61230502.

It is a happy number.

205032160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205032169) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 640566 + ... + 640885.

It is an arithmetic number, because the mean of its divisors is an integer number (20182869).

Almost surely, 2^205032160 is an apocalyptic number.

205032160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205032160 is an abundant number, since it is smaller than the sum of its proper divisors (279356696).

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

205032160 is a wasteful number, since it uses less digits than its factorization.

205032160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281466 (or 1281458 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 205032160 is about 14318.9440951489. The cubic root of 205032160 is about 589.6676860778.

Adding to 205032160 its reverse (61230502), we get a palindrome (266262662).

The spelling of 205032160 in words is "two hundred five million, thirty-two thousand, one hundred sixty".