19968040 has 64 divisors (see below), whose sum is σ = 46656000. Its totient is φ = 7687680.

The previous prime is 19968029. The next prime is 19968041. The reversal of 19968040 is 4086991.

19968040 is a nontrivial binomial coefficient, being equal to C(6320, 2).

It is not an unprimeable number, because it can be changed into a prime (19968041) 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, 224316 + ... + 224404.

It is an arithmetic number, because the mean of its divisors is an integer number (729000).

Almost surely, 2^19968040 is an apocalyptic number.

19968040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19968040 is the 6319-th triangular number and also the 3160-th hexagonal number.

19968040 is the 2107-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19968040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23328000).

19968040 is an abundant number, since it is smaller than the sum of its proper divisors (26687960).

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

19968040 is a wasteful number, since it uses less digits than its factorization.

19968040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 19968040 is about 4468.5612897218. The cubic root of 19968040 is about 271.2970965955.

The spelling of 19968040 in words is "nineteen million, nine hundred sixty-eight thousand, forty".