205160560 has 80 divisors (see below), whose sum is σ = 534510432. Its totient is φ = 72576000.

The previous prime is 205160533. The next prime is 205160561. The reversal of 205160560 is 65061502.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205160561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29410 + ... + 35710.

Almost surely, 2^205160560 is an apocalyptic number.

205160560 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 205160560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267255216).

205160560 is an abundant number, since it is smaller than the sum of its proper divisors (329349872).

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

205160560 is a wasteful number, since it uses less digits than its factorization.

205160560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6362 (or 6356 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 205160560 is about 14323.4269642429. The cubic root of 205160560 is about 589.7907521884.

The spelling of 205160560 in words is "two hundred five million, one hundred sixty thousand, five hundred sixty".