55600 has 30 divisors (see below), whose sum is σ = 134540. Its totient is φ = 22080.

The previous prime is 55589. The next prime is 55603. The reversal of 55600 is 655.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (55603) by changing a digit.

55600 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 331 + ... + 469.

2⁵⁵⁶⁰⁰ is an apocalyptic number.

55600 is a gapful number since it is divisible by the number (50) 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 55600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67270).

55600 is an abundant number, since it is smaller than the sum of its proper divisors (78940).

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

55600 is a wasteful number, since it uses less digits than its factorization.

55600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 55600 is about 235.7965224510. The cubic root of 55600 is about 38.1673139440.

Subtracting from 55600 its reverse (655), we obtain a palindrome (54945).

The spelling of 55600 in words is "fifty-five thousand, six hundred".