557056 has 32 divisors (see below), whose sum is σ = 1179630. Its totient is φ = 262144.

The previous prime is 557041. The next prime is 557057. The reversal of 557056 is 650755.

It can be written as a sum of positive squares in only one way, i.e., 409600 + 147456 = 640^2 + 384^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×557056² = 620622774272, which contains 22 as substring.

It is a nialpdrome in base 8 and base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 557056 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32760 + ... + 32776.

2⁵⁵⁷⁰⁵⁶ 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 557056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589815).

557056 is an abundant number, since it is smaller than the sum of its proper divisors (622574).

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

557056 is an frugal number, since it uses more digits than its factorization.

557056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 28.

The square root of 557056 is about 746.3618425402. The cubic root of 557056 is about 82.2810109011.

The spelling of 557056 in words is "five hundred fifty-seven thousand, fifty-six".