19973968 has 60 divisors (see below), whose sum is σ = 45765300. Its totient is φ = 8418816.

The previous prime is 19973939. The next prime is 19973971. The reversal of 19973968 is 86937991.

It can be written as a sum of positive squares in 2 ways, for example, as 13046544 + 6927424 = 3612^2 + 2632^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57058 + ... + 57406.

It is an arithmetic number, because the mean of its divisors is an integer number (762755).

Almost surely, 2^19973968 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 19973968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22882650).

19973968 is an abundant number, since it is smaller than the sum of its proper divisors (25791332).

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

19973968 is a wasteful number, since it uses less digits than its factorization.

19973968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 431 counting only the distinct ones).

The product of its digits is 734832, while the sum is 52.

The square root of 19973968 is about 4469.2245412376. The cubic root of 19973968 is about 271.3239409939.

The spelling of 19973968 in words is "nineteen million, nine hundred seventy-three thousand, nine hundred sixty-eight".