19384992 has 144 divisors (see below), whose sum is σ = 62506080. Its totient is φ = 5644800.

The previous prime is 19384991. The next prime is 19384993. The reversal of 19384992 is 29948391.

It is an interprime number because it is at equal distance from previous prime (19384991) and next prime (19384993).

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (19384991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91767 + ... + 91977.

It is an arithmetic number, because the mean of its divisors is an integer number (434070).

Almost surely, 2^19384992 is an apocalyptic number.

19384992 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 19384992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31253040).

19384992 is an abundant number, since it is smaller than the sum of its proper divisors (43121088).

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

19384992 is a wasteful number, since it uses less digits than its factorization.

19384992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 256 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 19384992 is about 4402.8390840457. The cubic root of 19384992 is about 268.6304308921.

The spelling of 19384992 in words is "nineteen million, three hundred eighty-four thousand, nine hundred ninety-two".