575760 has 40 divisors (see below), whose sum is σ = 1785600. Its totient is φ = 153472.

The previous prime is 575753. The next prime is 575777. The reversal of 575760 is 67575.

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 a congruent number.

It is an unprimeable number.

575760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 960 + ... + 1439.

It is an arithmetic number, because the mean of its divisors is an integer number (44640).

2⁵⁷⁵⁷⁶⁰ is an apocalyptic number.

It is an amenable number.

575760 is an abundant number, since it is smaller than the sum of its proper divisors (1209840).

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

575760 is a wasteful number, since it uses less digits than its factorization.

575760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 575760 is about 758.7885080838. The cubic root of 575760 is about 83.1917952955.

The spelling of 575760 in words is "five hundred seventy-five thousand, seven hundred sixty".