19248 has 20 divisors (see below), whose sum is σ = 49848. Its totient is φ = 6400.

The previous prime is 19237. The next prime is 19249. The reversal of 19248 is 84291.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (19249) by changing a digit.

19248 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 153 + ... + 248.

2¹⁹²⁴⁸ is an apocalyptic number.

It is an amenable number.

19248 is an abundant number, since it is smaller than the sum of its proper divisors (30600).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24924).

19248 is a wasteful number, since it uses less digits than its factorization.

19248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 406 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 19248 is about 138.7371615682. The cubic root of 19248 is about 26.7996138654.

It can be divided in two parts, 192 and 48, that multiplied together give a square (9216 = 96²).

The spelling of 19248 in words is "nineteen thousand, two hundred forty-eight".