19785168 has 120 divisors (see below), whose sum is σ = 61722240. Its totient is φ = 6065280.

The previous prime is 19785149. The next prime is 19785169. The reversal of 19785168 is 86158791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19785169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72873 + ... + 73143.

It is an arithmetic number, because the mean of its divisors is an integer number (514352).

Almost surely, 2^19785168 is an apocalyptic number.

19785168 is a gapful number since it is divisible by the number (18) 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 19785168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30861120).

19785168 is an abundant number, since it is smaller than the sum of its proper divisors (41937072).

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

19785168 is a wasteful number, since it uses less digits than its factorization.

19785168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 289 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The square root of 19785168 is about 4448.0521579676. The cubic root of 19785168 is about 270.4663545243.

The spelling of 19785168 in words is "nineteen million, seven hundred eighty-five thousand, one hundred sixty-eight".