19024 has 20 divisors (see below), whose sum is σ = 39060. Its totient is φ = 8960.

The previous prime is 19013. The next prime is 19031. The reversal of 19024 is 42091.

It can be written as a sum of positive squares in 2 ways, for example, as 4624 + 14400 = 68^2 + 120^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 18989 and 19007.

It is a congruent number.

It is an unprimeable number.

19024 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 444 + ... + 484.

It is an arithmetic number, because the mean of its divisors is an integer number (1953).

2¹⁹⁰²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19530).

19024 is an abundant number, since it is smaller than the sum of its proper divisors (20036).

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

19024 is a wasteful number, since it uses less digits than its factorization.

19024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 19024 is about 137.9275171965. The cubic root of 19024 is about 26.6952471352.

It can be divided in two parts, 190 and 24, that multiplied together give a triangular number (4560 = T₉₅).

The spelling of 19024 in words is "nineteen thousand, twenty-four".