557088 has 48 divisors (see below), whose sum is σ = 1673280. Its totient is φ = 158976.

The previous prime is 557087. The next prime is 557093. The reversal of 557088 is 880755.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (557087) 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 7 ways as a sum of consecutive naturals, for example, 258 + ... + 1086.

It is an arithmetic number, because the mean of its divisors is an integer number (34860).

2⁵⁵⁷⁰⁸⁸ 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 557088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836640).

557088 is an abundant number, since it is smaller than the sum of its proper divisors (1116192).

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

557088 is a wasteful number, since it uses less digits than its factorization.

557088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 557088 is about 746.3832795555. The cubic root of 557088 is about 82.2825864111.

The spelling of 557088 in words is "five hundred fifty-seven thousand, eighty-eight".