19679904 has 72 divisors (see below), whose sum is σ = 58417632. Its totient is φ = 6272640.

The previous prime is 19679903. The next prime is 19679909. The reversal of 19679904 is 40997691.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 19679904.

It is not an unprimeable number, because it can be changed into a prime (19679903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5139 + ... + 8109.

It is an arithmetic number, because the mean of its divisors is an integer number (811356).

Almost surely, 2^19679904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19679904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29208816).

19679904 is an abundant number, since it is smaller than the sum of its proper divisors (38737728).

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

19679904 is a wasteful number, since it uses less digits than its factorization.

19679904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 19679904 is about 4436.2037825150. The cubic root of 19679904 is about 269.9858428791.

The spelling of 19679904 in words is "nineteen million, six hundred seventy-nine thousand, nine hundred four".