575360 has 64 divisors (see below), whose sum is σ = 1468800. Its totient is φ = 215040.

The previous prime is 575359. The next prime is 575369. The reversal of 575360 is 63575.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575369) 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, 18545 + ... + 18575.

It is an arithmetic number, because the mean of its divisors is an integer number (22950).

2⁵⁷⁵³⁶⁰ 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 575360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734400).

575360 is an abundant number, since it is smaller than the sum of its proper divisors (893440).

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

575360 is a wasteful number, since it uses less digits than its factorization.

575360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 575360 is about 758.5248842325. The cubic root of 575360 is about 83.1725254450.

The spelling of 575360 in words is "five hundred seventy-five thousand, three hundred sixty".