19968585 has 32 divisors (see below), whose sum is σ = 39325440. Its totient is φ = 8425728.

The previous prime is 19968581. The next prime is 19968587. The reversal of 19968585 is 58586991.

It is not a de Polignac number, because 19968585 - 2² = 19968581 is a prime.

It is not an unprimeable number, because it can be changed into a prime (19968581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5950 + ... + 8679.

It is an arithmetic number, because the mean of its divisors is an integer number (1228920).

Almost surely, 2^19968585 is an apocalyptic number.

19968585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19968585 is a deficient number, since it is larger than the sum of its proper divisors (19356855).

19968585 is a wasteful number, since it uses less digits than its factorization.

19968585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14657.

The product of its digits is 777600, while the sum is 51.

The square root of 19968585 is about 4468.6222709018. The cubic root of 19968585 is about 271.2995647992.

The spelling of 19968585 in words is "nineteen million, nine hundred sixty-eight thousand, five hundred eighty-five".