19944000 has 168 divisors, whose sum is σ = 71600568. Its totient is φ = 5299200.

The previous prime is 19943983. The next prime is 19944007. The reversal of 19944000 is 44991.

It can be written as a sum of positive squares in 4 ways, for example, as 2903616 + 17040384 = 1704^2 + 4128^2 .

It is not an unprimeable number, because it can be changed into a prime (19944007) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 71862 + ... + 72138.

Almost surely, 2^19944000 is an apocalyptic number.

19944000 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 19944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35800284).

19944000 is an abundant number, since it is smaller than the sum of its proper divisors (51656568).

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

19944000 is a wasteful number, since it uses less digits than its factorization.

19944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 19944000 is about 4465.8705758228. The cubic root of 19944000 is about 271.1881791908.

Adding to 19944000 its reverse (44991), we get a palindrome (19988991).

The spelling of 19944000 in words is "nineteen million, nine hundred forty-four thousand".