556842 has 48 divisors (see below), whose sum is σ = 1340640. Its totient is φ = 153120.

The previous prime is 556841. The next prime is 556849. The reversal of 556842 is 248655.

It is a d-powerful number, because it can be written as 5⁶ + 5⁶ + 8 + 6⁴ + 4⁹ + 2¹⁸ .

It is not an unprimeable number, because it can be changed into a prime (556841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9409 + ... + 9467.

It is an arithmetic number, because the mean of its divisors is an integer number (27930).

2⁵⁵⁶⁸⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670320).

556842 is an abundant number, since it is smaller than the sum of its proper divisors (783798).

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

556842 is a wasteful number, since it uses less digits than its factorization.

556842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 88 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 556842 is about 746.2184666705. The cubic root of 556842 is about 82.2704731265.

The spelling of 556842 in words is "five hundred fifty-six thousand, eight hundred forty-two".