55620 has 48 divisors (see below), whose sum is σ = 174720. Its totient is φ = 14688.

The previous prime is 55619. The next prime is 55621. The reversal of 55620 is 2655.

It is an interprime number because it is at equal distance from previous prime (55619) and next prime (55621).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 55593 and 55602.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 55620.

It is not an unprimeable number, because it can be changed into a prime (55621) 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 15 ways as a sum of consecutive naturals, for example, 489 + ... + 591.

It is an arithmetic number, because the mean of its divisors is an integer number (3640).

2⁵⁵⁶²⁰ 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 55620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87360).

55620 is an abundant number, since it is smaller than the sum of its proper divisors (119100).

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

55620 is a wasteful number, since it uses less digits than its factorization.

55620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 55620 is about 235.8389280844. The cubic root of 55620 is about 38.1718898119.

It can be divided in two parts, 556 and 20, that added together give a square (576 = 24²).

The spelling of 55620 in words is "fifty-five thousand, six hundred twenty".