205045560 has 128 divisors (see below), whose sum is σ = 686664000. Its totient is φ = 54425088.

The previous prime is 205045541. The next prime is 205045609. The reversal of 205045560 is 65540502.

205045560 is a `hidden beast` number, since 205 + 0 + 455 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402586 + ... + 403094.

Almost surely, 2^205045560 is an apocalyptic number.

205045560 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 205045560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343332000).

205045560 is an abundant number, since it is smaller than the sum of its proper divisors (481618440).

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

205045560 is a wasteful number, since it uses less digits than its factorization.

205045560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 205045560 is about 14319.4119991011. The cubic root of 205045560 is about 589.6805318266.

The spelling of 205045560 in words is "two hundred five million, forty-five thousand, five hundred sixty".