557568 has 90 divisors (see below), whose sum is σ = 1768767. Its totient is φ = 168960.

The previous prime is 557567. The next prime is 557573. The reversal of 557568 is 865755.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 278784 + 278784 = 528^2 + 528^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=528.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (42000) is a multiple of the sum of its prime divisors (16).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (557567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 50683 + ... + 50693.

2⁵⁵⁷⁵⁶⁸ 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 557568

557568 is an abundant number, since it is smaller than the sum of its proper divisors (1211199).

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

557568 is a wasteful number, since it uses less digits than its factorization.

557568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 16 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 557568 is about 746.7047609330. The cubic root of 557568 is about 82.3062118248.

The spelling of 557568 in words is "five hundred fifty-seven thousand, five hundred sixty-eight".