5506656 has 48 divisors (see below), whose sum is σ = 15220800. Its totient is φ = 1738368.

The previous prime is 5506651. The next prime is 5506679. The reversal of 5506656 is 6566055.

5506656 = T₃₃ + T₃₄ + ... + T₃₂₀.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5506651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315 + ... + 3333.

It is an arithmetic number, because the mean of its divisors is an integer number (317100).

Almost surely, 2^5506656 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 5506656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7610400).

5506656 is an abundant number, since it is smaller than the sum of its proper divisors (9714144).

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

5506656 is a wasteful number, since it uses less digits than its factorization.

5506656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 5506656 is about 2346.6265148080. The cubic root of 5506656 is about 176.5885941176.

The spelling of 5506656 in words is "five million, five hundred six thousand, six hundred fifty-six".