55306656 has 36 divisors (see below), whose sum is σ = 157279122. Its totient is φ = 18435456.

The previous prime is 55306649. The next prime is 55306681. The reversal of 55306656 is 65660355.

It is a happy number.

55306656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 53056656 + 2250000 = 7284^2 + 1500^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 55306656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 95731 + ... + 96306.

Almost surely, 2^55306656 is an apocalyptic number.

It is an amenable number.

55306656 is an abundant number, since it is smaller than the sum of its proper divisors (101972466).

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

55306656 is a wasteful number, since it uses less digits than its factorization.

55306656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192053 (or 192042 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 55306656 is about 7436.8444921216. The cubic root of 55306656 is about 381.0007233334. Note that the first 3 decimals are identical.

The spelling of 55306656 in words is "fifty-five million, three hundred six thousand, six hundred fifty-six".