557648 has 40 divisors (see below), whose sum is σ = 1333248. Its totient is φ = 220032.

The previous prime is 557639. The next prime is 557663. The reversal of 557648 is 846755.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 557648.

It is an unprimeable number.

557648 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 7 ways as a sum of consecutive naturals, for example, 1265 + ... + 1647.

2⁵⁵⁷⁶⁴⁸ 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 557648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666624).

557648 is an abundant number, since it is smaller than the sum of its proper divisors (775600).

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

557648 is a wasteful number, since it uses less digits than its factorization.

557648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 405 counting only the distinct ones).

The product of its digits is 33600, while the sum is 35.

The square root of 557648 is about 746.7583277072. The cubic root of 557648 is about 82.3101480754.

The spelling of 557648 in words is "five hundred fifty-seven thousand, six hundred forty-eight".