55416 has 16 divisors (see below), whose sum is σ = 138600. Its totient is φ = 18464.

The previous prime is 55411. The next prime is 55439. The reversal of 55416 is 61455.

It is a happy number.

55416 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 55392 and 55401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55411) by changing a digit.

55416 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, 1131 + ... + 1178.

2⁵⁵⁴¹⁶ is an apocalyptic number.

It is an amenable number.

55416 is an abundant number, since it is smaller than the sum of its proper divisors (83184).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69300).

55416 is a wasteful number, since it uses less digits than its factorization.

55416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 2314 counting only the distinct ones).

The product of its digits is 600, while the sum is 21.

The square root of 55416 is about 235.4060322082. The cubic root of 55416 is about 38.1251643816.

The spelling of 55416 in words is "fifty-five thousand, four hundred sixteen".