557856 has 72 divisors (see below), whose sum is σ = 1719900. Its totient is φ = 170496.

The previous prime is 557831. The next prime is 557857. The reversal of 557856 is 658755.

It can be written as a sum of positive squares in 2 ways, for example, as 467856 + 90000 = 684^2 + 300^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×557856² = 622406633472, which contains 22 as substring.

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

It is an Ulam number.

It is a nialpdrome in base 16.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 557856.

It is not an unprimeable number, because it can be changed into a prime (557857) by changing a digit.

557856 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 (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3670 + ... + 3818.

2⁵⁵⁷⁸⁵⁶ 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 557856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859950).

557856 is an abundant number, since it is smaller than the sum of its proper divisors (1162044).

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

557856 is a wasteful number, since it uses less digits than its factorization.

557856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 167 counting only the distinct ones).

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

The square root of 557856 is about 746.8975833406. The cubic root of 557856 is about 82.3203805653.

The spelling of 557856 in words is "five hundred fifty-seven thousand, eight hundred fifty-six".