55633620 has 144 divisors (see below), whose sum is σ = 183859200. Its totient is φ = 12531456.

The previous prime is 55633579. The next prime is 55633621. The reversal of 55633620 is 2633655.

55633620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55633621) 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 47 ways as a sum of consecutive naturals, for example, 373306 + ... + 373454.

It is an arithmetic number, because the mean of its divisors is an integer number (1276800).

Almost surely, 2^55633620 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 55633620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91929600).

55633620 is an abundant number, since it is smaller than the sum of its proper divisors (128225580).

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

55633620 is a wasteful number, since it uses less digits than its factorization.

55633620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 55633620 is about 7458.7948088146. The cubic root of 55633620 is about 381.7500535011.

The spelling of 55633620 in words is "fifty-five million, six hundred thirty-three thousand, six hundred twenty".