19416 has 16 divisors (see below), whose sum is σ = 48600. Its totient is φ = 6464.

The previous prime is 19403. The next prime is 19417. The reversal of 19416 is 61491.

19416 is digitally balanced in base 4, because in such base 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 = 19392 and 19401.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 19416.

It is not an unprimeable number, because it can be changed into a prime (19417) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 381 + ... + 428.

2¹⁹⁴¹⁶ is an apocalyptic number.

It is an amenable number.

19416 is an abundant number, since it is smaller than the sum of its proper divisors (29184).

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 (24300).

19416 is a wasteful number, since it uses less digits than its factorization.

19416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 814 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 19416 is about 139.3413075868. The cubic root of 19416 is about 26.8773587257.

It can be divided in two parts, 194 and 16, that added together give a triangular number (210 = T₂₀).

The spelling of 19416 in words is "nineteen thousand, four hundred sixteen".