19788192 has 96 divisors (see below), whose sum is σ = 59371200. Its totient is φ = 6407424.

The previous prime is 19788169. The next prime is 19788193. The reversal of 19788192 is 29188791.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (19788193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31659 + ... + 32277.

It is an arithmetic number, because the mean of its divisors is an integer number (618450).

Almost surely, 2^19788192 is an apocalyptic number.

19788192 is a gapful number since it is divisible by the number (12) 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 19788192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29685600).

19788192 is an abundant number, since it is smaller than the sum of its proper divisors (39583008).

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

19788192 is a wasteful number, since it uses less digits than its factorization.

19788192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 661 counting only the distinct ones).

The product of its digits is 72576, while the sum is 45.

The square root of 19788192 is about 4448.3920690515. The cubic root of 19788192 is about 270.4801333407.

The spelling of 19788192 in words is "nineteen million, seven hundred eighty-eight thousand, one hundred ninety-two".