205264560 has 40 divisors (see below), whose sum is σ = 636320880. Its totient is φ = 54737152.

The previous prime is 205264559. The next prime is 205264589. The reversal of 205264560 is 65462502.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 427395 + ... + 427874.

It is an arithmetic number, because the mean of its divisors is an integer number (15908022).

Almost surely, 2^205264560 is an apocalyptic number.

205264560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205264560 is an abundant number, since it is smaller than the sum of its proper divisors (431056320).

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

205264560 is a wasteful number, since it uses less digits than its factorization.

205264560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855285 (or 855279 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 205264560 is about 14327.0569203867. The cubic root of 205264560 is about 589.8903942714.

The spelling of 205264560 in words is "two hundred five million, two hundred sixty-four thousand, five hundred sixty".