559207968 has 96 divisors (see below), whose sum is σ = 1611150912. Its totient is φ = 168422400.

The previous prime is 559207939. The next prime is 559207969. The reversal of 559207968 is 869702955.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 559207968.

It is not an unprimeable number, because it can be changed into a prime (559207969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181158 + ... + 184218.

It is an arithmetic number, because the mean of its divisors is an integer number (16782822).

Almost surely, 2^559207968 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 559207968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805575456).

559207968 is an abundant number, since it is smaller than the sum of its proper divisors (1051942944).

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

559207968 is a wasteful number, since it uses less digits than its factorization.

559207968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The square root of 559207968 is about 23647.5784806817. The cubic root of 559207968 is about 823.8682825875.

The spelling of 559207968 in words is "five hundred fifty-nine million, two hundred seven thousand, nine hundred sixty-eight".