19945968 has 160 divisors (see below), whose sum is σ = 64281600. Its totient is φ = 5203968.

The previous prime is 19945949. The next prime is 19945973. The reversal of 19945968 is 86954991.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 19945968.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224068 + ... + 224156.

It is an arithmetic number, because the mean of its divisors is an integer number (401760).

Almost surely, 2^19945968 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 19945968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32140800).

19945968 is an abundant number, since it is smaller than the sum of its proper divisors (44335632).

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

19945968 is a wasteful number, since it uses less digits than its factorization.

19945968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 153 counting only the distinct ones).

The product of its digits is 699840, while the sum is 51.

The square root of 19945968 is about 4466.0909081657. The cubic root of 19945968 is about 271.1970988456.

The spelling of 19945968 in words is "nineteen million, nine hundred forty-five thousand, nine hundred sixty-eight".