205068560 has 20 divisors (see below), whose sum is σ = 476784588. Its totient is φ = 82027392.

The previous prime is 205068557. The next prime is 205068581. The reversal of 205068560 is 65860502.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 139523344 + 65545216 = 11812^2 + 8096^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×205068560² = 84106228600947200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1281599 + ... + 1281758.

Almost surely, 2^205068560 is an apocalyptic number.

205068560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205068560 is an abundant number, since it is smaller than the sum of its proper divisors (271716028).

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

205068560 is a wasteful number, since it uses less digits than its factorization.

205068560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2563370 (or 2563364 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 205068560 is about 14320.2150821836. The cubic root of 205068560 is about 589.7025791953.

The spelling of 205068560 in words is "two hundred five million, sixty-eight thousand, five hundred sixty".