556968 has 32 divisors (see below), whose sum is σ = 1454400. Its totient is φ = 177408.

The previous prime is 556967. The next prime is 556981. The reversal of 556968 is 869655.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (556967) 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 7 ways as a sum of consecutive naturals, for example, 48 + ... + 1056.

It is an arithmetic number, because the mean of its divisors is an integer number (45450).

2⁵⁵⁶⁹⁶⁸ 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 556968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727200).

556968 is an abundant number, since it is smaller than the sum of its proper divisors (897432).

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

556968 is a wasteful number, since it uses less digits than its factorization.

556968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1037 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 556968 is about 746.3028875731. The cubic root of 556968 is about 82.2766779374.

The spelling of 556968 in words is "five hundred fifty-six thousand, nine hundred sixty-eight".