55616 has 28 divisors (see below), whose sum is σ = 121920. Its totient is φ = 24960.

The previous prime is 55609. The next prime is 55619. The reversal of 55616 is 61655.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 55591 and 55600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55619) by changing a digit.

55616 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 3 ways as a sum of consecutive naturals, for example, 665 + ... + 743.

2⁵⁵⁶¹⁶ 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 55616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60960).

55616 is an abundant number, since it is smaller than the sum of its proper divisors (66304).

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

55616 is a wasteful number, since it uses less digits than its factorization.

55616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 92 counting only the distinct ones).

The product of its digits is 900, while the sum is 23.

The square root of 55616 is about 235.8304475677. The cubic root of 55616 is about 38.1709747261.

The spelling of 55616 in words is "fifty-five thousand, six hundred sixteen".