19009984 has 28 divisors (see below), whose sum is σ = 43112944. Its totient is φ = 8146944.

The previous prime is 19009981. The next prime is 19010009. The reversal of 19009984 is 48990091.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×19009984² = 722758983360512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19009981) 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 3 ways as a sum of consecutive naturals, for example, 20769 + ... + 21664.

It is an arithmetic number, because the mean of its divisors is an integer number (1539748).

Almost surely, 2^19009984 is an apocalyptic number.

19009984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

19009984 is an abundant number, since it is smaller than the sum of its proper divisors (24102960).

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

19009984 is an equidigital number, since it uses as much as digits as its factorization.

19009984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42452 (or 42442 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The square root of 19009984 is about 4360.0440364749. The cubic root of 19009984 is about 266.8868958494.

The spelling of 19009984 in words is "nineteen million, nine thousand, nine hundred eighty-four".