55650 has 48 divisors (see below), whose sum is σ = 160704. Its totient is φ = 12480.

The previous prime is 55639. The next prime is 55661. The reversal of 55650 is 5655.

55650 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55639) and next prime (55661).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 55650.

It is an unprimeable number.

55650 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1024 + ... + 1076.

It is an arithmetic number, because the mean of its divisors is an integer number (3348).

2⁵⁵⁶⁵⁰ is an apocalyptic number.

55650 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352).

55650 is an abundant number, since it is smaller than the sum of its proper divisors (105054).

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

55650 is a wasteful number, since it uses less digits than its factorization.

55650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 55650 is about 235.9025222417. The cubic root of 55650 is about 38.1787515575.

It can be divided in two parts, 556 and 50, that added together give a palindrome (606).

The spelling of 55650 in words is "fifty-five thousand, six hundred fifty".