19711968 has 96 divisors (see below), whose sum is σ = 55520640. Its totient is φ = 6105600.

The previous prime is 19711961. The next prime is 19711969. The reversal of 19711968 is 86911791.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19711961) 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, 184171 + ... + 184277.

It is an arithmetic number, because the mean of its divisors is an integer number (578340).

Almost surely, 2^19711968 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 19711968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27760320).

19711968 is an abundant number, since it is smaller than the sum of its proper divisors (35808672).

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

19711968 is a wasteful number, since it uses less digits than its factorization.

19711968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its digits is 27216, while the sum is 42.

The square root of 19711968 is about 4439.8162124124. The cubic root of 19711968 is about 270.1323904921.

The spelling of 19711968 in words is "nineteen million, seven hundred eleven thousand, nine hundred sixty-eight".