575760560 has 40 divisors (see below), whose sum is σ = 1344288960. Its totient is φ = 229332992.

The previous prime is 575760557. The next prime is 575760569. The reversal of 575760560 is 65067575.

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

It is not an unprimeable number, because it can be changed into a prime (575760569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4064 + ... + 34176.

It is an arithmetic number, because the mean of its divisors is an integer number (33607224).

Almost surely, 2^575760560 is an apocalyptic number.

It is an amenable number.

575760560 is an abundant number, since it is smaller than the sum of its proper divisors (768528400).

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

575760560 is a wasteful number, since it uses less digits than its factorization.

575760560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30365 (or 30359 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 41.

The square root of 575760560 is about 23995.0111481533. The cubic root of 575760560 is about 831.9182226700.

The spelling of 575760560 in words is "five hundred seventy-five million, seven hundred sixty thousand, five hundred sixty".