557688 has 32 divisors (see below), whose sum is σ = 1468800. Its totient is φ = 175968.

The previous prime is 557671. The next prime is 557693. The reversal of 557688 is 886755.

It is a happy number.

It is a super-2 number, since 2×557688² = 622031810688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

557688 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, 156 + ... + 1067.

It is an arithmetic number, because the mean of its divisors is an integer number (45900).

2⁵⁵⁷⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

557688 is an abundant number, since it is smaller than the sum of its proper divisors (911112).

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

557688 is a wasteful number, since it uses less digits than its factorization.

557688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1247 counting only the distinct ones).

The product of its digits is 67200, while the sum is 39.

The square root of 557688 is about 746.7851096534. The cubic root of 557688 is about 82.3121160595.

The spelling of 557688 in words is "five hundred fifty-seven thousand, six hundred eighty-eight".