19296 has 36 divisors (see below), whose sum is σ = 55692. Its totient is φ = 6336.

The previous prime is 19289. The next prime is 19301. The reversal of 19296 is 69291.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

19296 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 5 ways as a sum of consecutive naturals, for example, 255 + ... + 321.

It is an arithmetic number, because the mean of its divisors is an integer number (1547).

2¹⁹²⁹⁶ is an apocalyptic number.

19296 is a gapful number since it is divisible by the number (16) 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 19296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27846).

19296 is an abundant number, since it is smaller than the sum of its proper divisors (36396).

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

19296 is a wasteful number, since it uses less digits than its factorization.

19296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 72 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 19296 is about 138.9100428335. The cubic root of 19296 is about 26.8218726911.

The spelling of 19296 in words is "nineteen thousand, two hundred ninety-six".