19869872 has 80 divisors (see below), whose sum is σ = 46202400. Its totient is φ = 8171520.

The previous prime is 19869869. The next prime is 19869881. The reversal of 19869872 is 27896891.

Its product of digits (435456) is a multiple of the sum of its prime divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 19869872.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 86654 + ... + 86882.

It is an arithmetic number, because the mean of its divisors is an integer number (577530).

Almost surely, 2^19869872 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 19869872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23101200).

19869872 is an abundant number, since it is smaller than the sum of its proper divisors (26332528).

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

19869872 is a wasteful number, since it uses less digits than its factorization.

19869872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 288 counting only the distinct ones).

The product of its digits is 435456, while the sum is 50.

The square root of 19869872 is about 4457.5634600082. The cubic root of 19869872 is about 270.8517773527.

The spelling of 19869872 in words is "nineteen million, eight hundred sixty-nine thousand, eight hundred seventy-two".