205432560 has 120 divisors (see below), whose sum is σ = 726270480. Its totient is φ = 51895296.

The previous prime is 205432537. The next prime is 205432561. The reversal of 205432560 is 65234502.

205432560 is a `hidden beast` number, since 20 + 54 + 32 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205432561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6172 + ... + 21188.

It is an arithmetic number, because the mean of its divisors is an integer number (6052254).

Almost surely, 2^205432560 is an apocalyptic number.

205432560 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 205432560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363135240).

205432560 is an abundant number, since it is smaller than the sum of its proper divisors (520837920).

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

205432560 is a wasteful number, since it uses less digits than its factorization.

205432560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15055 (or 15046 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 205432560 is about 14332.9187536942. The cubic root of 205432560 is about 590.0512834863.

The spelling of 205432560 in words is "two hundred five million, four hundred thirty-two thousand, five hundred sixty".