19788000 has 192 divisors, whose sum is σ = 69346368. Its totient is φ = 4915200.

The previous prime is 19787959. The next prime is 19788011. The reversal of 19788000 is 88791.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203952 + ... + 204048.

It is an arithmetic number, because the mean of its divisors is an integer number (361179).

Almost surely, 2^19788000 is an apocalyptic number.

19788000 is a gapful number since it is divisible by the number (10) 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 19788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34673184).

19788000 is an abundant number, since it is smaller than the sum of its proper divisors (49558368).

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

19788000 is a wasteful number, since it uses less digits than its factorization.

19788000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 124 counting only the distinct ones).

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

The square root of 19788000 is about 4448.3704881675. The cubic root of 19788000 is about 270.4792585370.

The spelling of 19788000 in words is "nineteen million, seven hundred eighty-eight thousand".