205631160 has 128 divisors (see below), whose sum is σ = 721543680. Its totient is φ = 45900288.

The previous prime is 205631137. The next prime is 205631171. The reversal of 205631160 is 61136502.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 205631160.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 33274 + ... + 38966.

It is an arithmetic number, because the mean of its divisors is an integer number (5637060).

Almost surely, 2^205631160 is an apocalyptic number.

205631160 is a gapful number since it is divisible by the number (20) 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 205631160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360771840).

205631160 is an abundant number, since it is smaller than the sum of its proper divisors (515912520).

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

205631160 is a wasteful number, since it uses less digits than its factorization.

205631160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5757 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 205631160 is about 14339.8451874489. The cubic root of 205631160 is about 590.2413644273.

Adding to 205631160 its reverse (61136502), we get a palindrome (266767662).

The spelling of 205631160 in words is "two hundred five million, six hundred thirty-one thousand, one hundred sixty".