19878768 has 240 divisors, whose sum is σ = 72037056. Its totient is φ = 4976640.

The previous prime is 19878743. The next prime is 19878779. The reversal of 19878768 is 86787891.

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

Its product of digits (1354752) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 484828 + ... + 484868.

Almost surely, 2^19878768 is an apocalyptic number.

19878768 is a gapful number since it is divisible by the number (18) 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 19878768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36018528).

19878768 is an abundant number, since it is smaller than the sum of its proper divisors (52158288).

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

19878768 is a wasteful number, since it uses less digits than its factorization.

19878768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 103 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 54.

The square root of 19878768 is about 4458.5612028994. The cubic root of 19878768 is about 270.8921926091.

The spelling of 19878768 in words is "nineteen million, eight hundred seventy-eight thousand, seven hundred sixty-eight".