556016 has 40 divisors (see below), whose sum is σ = 1190400. Its totient is φ = 250560.

The previous prime is 556007. The next prime is 556021. The reversal of 556016 is 610655.

556016 = T₅₆ + T₅₇ + ... + T₁₅₁.

It is a junction number, because it is equal to n+sod(n) for n = 555982 and 556000.

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 556016.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9395 + ... + 9453.

It is an arithmetic number, because the mean of its divisors is an integer number (29760).

2⁵⁵⁶⁰¹⁶ 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 556016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595200).

556016 is an abundant number, since it is smaller than the sum of its proper divisors (634384).

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

556016 is a wasteful number, since it uses less digits than its factorization.

556016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 556016 is about 745.6648040507. The cubic root of 556016 is about 82.2297739459.

The spelling of 556016 in words is "five hundred fifty-six thousand, sixteen".