19968025 has 72 divisors (see below), whose sum is σ = 33247872. Its totient is φ = 11616000.

The previous prime is 19968007. The next prime is 19968029. The reversal of 19968025 is 52086991.

It is not a de Polignac number, because 19968025 - 2¹⁵ = 19935257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (19968029) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 487005 + ... + 487045.

It is an arithmetic number, because the mean of its divisors is an integer number (461776).

Almost surely, 2^19968025 is an apocalyptic number.

It is an amenable number.

19968025 is a deficient number, since it is larger than the sum of its proper divisors (13279847).

19968025 is a wasteful number, since it uses less digits than its factorization.

19968025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 19968025 is about 4468.5596113289. The cubic root of 19968025 is about 271.2970286626.

The spelling of 19968025 in words is "nineteen million, nine hundred sixty-eight thousand, twenty-five".