19456 has 22 divisors (see below), whose sum is σ = 40940. Its totient is φ = 9216.

The previous prime is 19447. The next prime is 19457. The reversal of 19456 is 65491.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 19456.

It is not an unprimeable number, because it can be changed into a prime (19457) by changing a digit.

19456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1015 + ... + 1033.

2¹⁹⁴⁵⁶ is an apocalyptic number.

19456 is a gapful number since it is divisible by the number (16) 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 19456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20470).

19456 is an abundant number, since it is smaller than the sum of its proper divisors (21484).

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

19456 is an equidigital number, since it uses as much as digits as its factorization.

19456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 21 counting only the distinct ones).

The product of its digits is 1080, while the sum is 25.

The square root of 19456 is about 139.4847661933. The cubic root of 19456 is about 26.8958032544.

The spelling of 19456 in words is "nineteen thousand, four hundred fifty-six".