55626588 has 72 divisors (see below), whose sum is σ = 147172480. Its totient is φ = 18370800.

The previous prime is 55626559. The next prime is 55626589. The reversal of 55626588 is 88562655.

55626588 is a `hidden beast` number, since 5 + 5 + 62 + 6 + 588 = 666.

55626588 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55626589) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 146583 + ... + 146961.

Almost surely, 2^55626588 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 55626588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73586240).

55626588 is an abundant number, since it is smaller than the sum of its proper divisors (91545892).

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

55626588 is a wasteful number, since it uses less digits than its factorization.

55626588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 535 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 55626588 is about 7458.3234040902. The cubic root of 55626588 is about 381.7339686260.

The spelling of 55626588 in words is "fifty-five million, six hundred twenty-six thousand, five hundred eighty-eight".