19968312 has 128 divisors (see below), whose sum is σ = 63221760. Its totient is φ = 5114880.

The previous prime is 19968293. The next prime is 19968313. The reversal of 19968312 is 21386991.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19968313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89433 + ... + 89655.

It is an arithmetic number, because the mean of its divisors is an integer number (493920).

Almost surely, 2^19968312 is an apocalyptic number.

19968312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19968312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31610880).

19968312 is an abundant number, since it is smaller than the sum of its proper divisors (43253448).

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

19968312 is a wasteful number, since it uses less digits than its factorization.

19968312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 289 counting only the distinct ones).

The product of its digits is 23328, while the sum is 39.

The square root of 19968312 is about 4468.5917244698. The cubic root of 19968312 is about 271.2983284385.

It can be divided in two parts, 19968 and 312, that multiplied together give a square (6230016 = 2496²).

The spelling of 19968312 in words is "nineteen million, nine hundred sixty-eight thousand, three hundred twelve".