19793984 has 112 divisors (see below), whose sum is σ = 50035968. Its totient is φ = 7569408.

The previous prime is 19793971. The next prime is 19793987. The reversal of 19793984 is 48939791.

It is a tau number, because it is divible by the number of its divisors (112).

Its product of digits (489888) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19793987) 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 15 ways as a sum of consecutive naturals, for example, 175112 + ... + 175224.

Almost surely, 2^19793984 is an apocalyptic number.

19793984 is a gapful number since it is divisible by the number (14) 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 19793984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25017984).

19793984 is an abundant number, since it is smaller than the sum of its proper divisors (30241984).

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

19793984 is a wasteful number, since it uses less digits than its factorization.

19793984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

The product of its digits is 489888, while the sum is 50.

The square root of 19793984 is about 4449.0430431723. The cubic root of 19793984 is about 270.5065205941.

The spelling of 19793984 in words is "nineteen million, seven hundred ninety-three thousand, nine hundred eighty-four".