19805968 has 80 divisors (see below), whose sum is σ = 48219136. Its totient is φ = 7672320.

The previous prime is 19805959. The next prime is 19805983. The reversal of 19805968 is 86950891.

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, 88705 + ... + 88927.

Almost surely, 2^19805968 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 19805968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24109568).

19805968 is an abundant number, since it is smaller than the sum of its proper divisors (28413168).

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

19805968 is a wasteful number, since it uses less digits than its factorization.

19805968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 46.

The square root of 19805968 is about 4450.3896458625. The cubic root of 19805968 is about 270.5611010858.

The spelling of 19805968 in words is "nineteen million, eight hundred five thousand, nine hundred sixty-eight".