559560 has 32 divisors (see below), whose sum is σ = 1679040. Its totient is φ = 149184.

The previous prime is 559549. The next prime is 559561. The reversal of 559560 is 65955.

559560 = T₇₆ + T₇₇ + ... + T₁₅₅.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (559561) by changing a digit.

559560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 2212 + ... + 2451.

It is an arithmetic number, because the mean of its divisors is an integer number (52470).

2⁵⁵⁹⁵⁶⁰ is an apocalyptic number.

It is an amenable number.

559560 is an abundant number, since it is smaller than the sum of its proper divisors (1119480).

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

559560 is a wasteful number, since it uses less digits than its factorization.

559560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

The square root of 559560 is about 748.0374322185. The cubic root of 559560 is about 82.4041126549.

The spelling of 559560 in words is "five hundred fifty-nine thousand, five hundred sixty".