19737968 has 20 divisors (see below), whose sum is σ = 38416440. Its totient is φ = 9824064.

The previous prime is 19737967. The next prime is 19737973. The reversal of 19737968 is 86973791.

It is a super-3 number, since 3×19737968³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19737961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 971 + ... + 6357.

It is an arithmetic number, because the mean of its divisors is an integer number (1920822).

Almost surely, 2^19737968 is an apocalyptic number.

It is an amenable number.

19737968 is a deficient number, since it is larger than the sum of its proper divisors (18678472).

19737968 is a wasteful number, since it uses less digits than its factorization.

19737968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5624 (or 5618 counting only the distinct ones).

The product of its digits is 571536, while the sum is 50.

The square root of 19737968 is about 4442.7432966580. The cubic root of 19737968 is about 270.2511061280.

The spelling of 19737968 in words is "nineteen million, seven hundred thirty-seven thousand, nine hundred sixty-eight".