19788 has 24 divisors (see below), whose sum is σ = 49392. Its totient is φ = 6144.

The previous prime is 19777. The next prime is 19793. The reversal of 19788 is 88791.

It is a plaindrome in base 7.

It is a nialpdrome in base 12.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 156 + ... + 252.

It is an arithmetic number, because the mean of its divisors is an integer number (2058).

2¹⁹⁷⁸⁸ 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 19788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24696).

19788 is an abundant number, since it is smaller than the sum of its proper divisors (29604).

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

19788 is a wasteful number, since it uses less digits than its factorization.

19788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 119 counting only the distinct ones).

The product of its digits is 4032, while the sum is 33.

The square root of 19788 is about 140.6698261888. The cubic root of 19788 is about 27.0479258537.

The spelling of 19788 in words is "nineteen thousand, seven hundred eighty-eight".