575604560 has 80 divisors (see below), whose sum is σ = 1385328000. Its totient is φ = 222248448.

The previous prime is 575604517. The next prime is 575604577. The reversal of 575604560 is 65406575.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410741 + ... + 412139.

It is an arithmetic number, because the mean of its divisors is an integer number (17316600).

Almost surely, 2^575604560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575604560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692664000).

575604560 is an abundant number, since it is smaller than the sum of its proper divisors (809723440).

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

575604560 is a wasteful number, since it uses less digits than its factorization.

575604560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 38.

The square root of 575604560 is about 23991.7602522199. The cubic root of 575604560 is about 831.8430809215.

The spelling of 575604560 in words is "five hundred seventy-five million, six hundred four thousand, five hundred sixty".