559680 has 112 divisors (see below), whose sum is σ = 1975104. Its totient is φ = 133120.

The previous prime is 559679. The next prime is 559687. The reversal of 559680 is 86955.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (559687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10534 + ... + 10586.

2⁵⁵⁹⁶⁸⁰ 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 559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987552).

559680 is an abundant number, since it is smaller than the sum of its proper divisors (1415424).

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

559680 is a wasteful number, since it uses less digits than its factorization.

559680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 559680 is about 748.1176378084. The cubic root of 559680 is about 82.4100028702.

It can be divided in two parts, 5 and 59680, that added together give a triangular number (59685 = T₃₄₅).

The spelling of 559680 in words is "five hundred fifty-nine thousand, six hundred eighty".