575904 has 48 divisors (see below), whose sum is σ = 1729728. Its totient is φ = 164352.

The previous prime is 575903. The next prime is 575921. The reversal of 575904 is 409575.

It is a tau number, because it is divible by the number of its divisors (48).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 575904.

It is not an unprimeable number, because it can be changed into a prime (575903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244 + ... + 1100.

It is an arithmetic number, because the mean of its divisors is an integer number (36036).

2⁵⁷⁵⁹⁰⁴ 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 575904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864864).

575904 is an abundant number, since it is smaller than the sum of its proper divisors (1153824).

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

575904 is a wasteful number, since it uses less digits than its factorization.

575904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 575904 is about 758.8833902518. The cubic root of 575904 is about 83.1987302568.

The spelling of 575904 in words is "five hundred seventy-five thousand, nine hundred four".