Write a C++ program to check if a given number is a palindrome. A palindrome is a number that remains the same when its digits are reversed.

Sure, here is a simple C++ program that checks if a given number is a palindrome:

#include <iostream>
using namespace std;

int main() {
    int n, num, digit, rev = 0;

    cout << "Enter a number: ";
    cin >> num;

    n = num;

    do {
        digit = num % 10;
        rev = (rev * 10) + digit;
        num = num / 10;
    } while (num != 0);

    cout << "The reverse of the number is: " << rev << endl;

    if (n == rev)
        cout << "The number is a palindrome.";
    else
        cout << "The number is not a palindrome.";

    return 0;
}

This program works by reversing the digits of the input number and then comparing the reversed number with the original number. If they are the same, then the number is a palindrome.