19648001 has 8 divisors (see below), whose sum is σ = 20091240. Its totient is φ = 19207552.

The previous prime is 19647989. The next prime is 19648037. The reversal of 19648001 is 10084691.

It can be written as a sum of positive squares in 4 ways, for example, as 2016400 + 17631601 = 1420^2 + 4199^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 19648001 - 2¹⁸ = 19385857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (19648081) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 20141 + ... + 21093.

It is an arithmetic number, because the mean of its divisors is an integer number (2511405).

Almost surely, 2^19648001 is an apocalyptic number.

It is an amenable number.

19648001 is a deficient number, since it is larger than the sum of its proper divisors (443239).

19648001 is an equidigital number, since it uses as much as digits as its factorization.

19648001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395.

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 19648001 is about 4432.6065695029. The cubic root of 19648001 is about 269.8398730461.

The spelling of 19648001 in words is "nineteen million, six hundred forty-eight thousand, one".