55606656 has 128 divisors (see below), whose sum is σ = 171164160. Its totient is φ = 15667200.

The previous prime is 55606633. The next prime is 55606657. The reversal of 55606656 is 65660655.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55606657) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 368181 + ... + 368331.

It is an arithmetic number, because the mean of its divisors is an integer number (1337220).

Almost surely, 2^55606656 is an apocalyptic number.

55606656 is a gapful number since it is divisible by the number (56) 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 55606656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85582080).

55606656 is an abundant number, since it is smaller than the sum of its proper divisors (115557504).

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

55606656 is a wasteful number, since it uses less digits than its factorization.

55606656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The square root of 55606656 is about 7456.9870591278. The cubic root of 55606656 is about 381.6883691462.

The spelling of 55606656 in words is "fifty-five million, six hundred six thousand, six hundred fifty-six".