19930768 has 80 divisors (see below), whose sum is σ = 46996992. Its totient is φ = 8064000.

The previous prime is 19930751. The next prime is 19930769. The reversal of 19930768 is 86703991.

It is not an unprimeable number, because it can be changed into a prime (19930769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70788 + ... + 71068.

Almost surely, 2^19930768 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 19930768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23498496).

19930768 is an abundant number, since it is smaller than the sum of its proper divisors (27066224).

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

19930768 is a wasteful number, since it uses less digits than its factorization.

19930768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The square root of 19930768 is about 4464.3888719510. The cubic root of 19930768 is about 271.1281919623.

The spelling of 19930768 in words is "nineteen million, nine hundred thirty thousand, seven hundred sixty-eight".