19927968 has 96 divisors (see below), whose sum is σ = 55121472. Its totient is φ = 6297600.

The previous prime is 19927939. The next prime is 19927969. The reversal of 19927968 is 86972991.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 19927968.

It is not an unprimeable number, because it can be changed into a prime (19927969) 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, 240055 + ... + 240137.

It is an arithmetic number, because the mean of its divisors is an integer number (574182).

Almost surely, 2^19927968 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 19927968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27560736).

19927968 is an abundant number, since it is smaller than the sum of its proper divisors (35193504).

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

19927968 is a wasteful number, since it uses less digits than its factorization.

19927968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 190 counting only the distinct ones).

The product of its digits is 489888, while the sum is 51.

The square root of 19927968 is about 4464.0752681827. The cubic root of 19927968 is about 271.1154947682.

It can be divided in two parts, 1992 and 7968, that multiplied together give a square (15872256 = 3984²).

The spelling of 19927968 in words is "nineteen million, nine hundred twenty-seven thousand, nine hundred sixty-eight".