19648 has 14 divisors (see below), whose sum is σ = 39116. Its totient is φ = 9792.

The previous prime is 19609. The next prime is 19661. The reversal of 19648 is 84691.

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90 + ... + 217.

It is an arithmetic number, because the mean of its divisors is an integer number (2794).

2¹⁹⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

19648 is a deficient number, since it is larger than the sum of its proper divisors (19468).

19648 is an equidigital number, since it uses as much as digits as its factorization.

19648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 309 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 19648 is about 140.1713237435. The cubic root of 19648 is about 26.9839868468.

The spelling of 19648 in words is "nineteen thousand, six hundred forty-eight".