556640 has 72 divisors (see below), whose sum is σ = 1551312. Its totient is φ = 188160.

The previous prime is 556639. The next prime is 556651. The reversal of 556640 is 46655.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7805 + ... + 7875.

It is an arithmetic number, because the mean of its divisors is an integer number (21546).

2⁵⁵⁶⁶⁴⁰ 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 556640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775656).

556640 is an abundant number, since it is smaller than the sum of its proper divisors (994672).

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

556640 is a wasteful number, since it uses less digits than its factorization.

556640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 556640 is about 746.0831052906. The cubic root of 556640 is about 82.2605237779.

The spelling of 556640 in words is "five hundred fifty-six thousand, six hundred forty".