19879104 has 84 divisors (see below), whose sum is σ = 61212984. Its totient is φ = 5677056.

The previous prime is 19879099. The next prime is 19879109. The reversal of 19879104 is 40197891.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19879099) and next prime (19879109).

It is a tau number, because it is divible by the number of its divisors (84).

It is not an unprimeable number, because it can be changed into a prime (19879109) 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 11 ways as a sum of consecutive naturals, for example, 8352 + ... + 10464.

It is an arithmetic number, because the mean of its divisors is an integer number (728726).

Almost surely, 2^19879104 is an apocalyptic number.

19879104 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 19879104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30606492).

19879104 is an abundant number, since it is smaller than the sum of its proper divisors (41333880).

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

19879104 is a wasteful number, since it uses less digits than its factorization.

19879104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 19879104 is about 4458.5988830573. The cubic root of 19879104 is about 270.8937188483.

The spelling of 19879104 in words is "nineteen million, eight hundred seventy-nine thousand, one hundred four".