5556000 has 96 divisors (see below), whose sum is σ = 18240768. Its totient is φ = 1478400.

The previous prime is 5555993. The next prime is 5556017. The reversal of 5556000 is 6555.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11769 + ... + 12231.

It is an arithmetic number, because the mean of its divisors is an integer number (190008).

Almost surely, 2^5556000 is an apocalyptic number.

5556000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9120384).

5556000 is an abundant number, since it is smaller than the sum of its proper divisors (12684768).

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

5556000 is a wasteful number, since it uses less digits than its factorization.

5556000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 5556000 is about 2357.1168829738. The cubic root of 5556000 is about 177.1144843315.

It can be divided in two parts, 555 and 6000, that added together give a triangular number (6555 = T₁₁₄).

The spelling of 5556000 in words is "five million, five hundred fifty-six thousand".