19968000 has 208 divisors, whose sum is σ = 71556576. Its totient is φ = 4915200.

The previous prime is 19967957. The next prime is 19968001. The reversal of 19968000 is 86991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (208).

It is not an unprimeable number, because it can be changed into a prime (19968001) 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, 1535994 + ... + 1536006.

It is an arithmetic number, because the mean of its divisors is an integer number (344022).

Almost surely, 2^19968000 is an apocalyptic number.

19968000 is a gapful number since it is divisible by the number (10) 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 19968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35778288).

19968000 is an abundant number, since it is smaller than the sum of its proper divisors (51588576).

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

19968000 is an equidigital number, since it uses as much as digits as its factorization.

19968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 19968000 is about 4468.5568140061. The cubic root of 19968000 is about 271.2969154411.

The spelling of 19968000 in words is "nineteen million, nine hundred sixty-eight thousand".