#include <bits/stdc++.h>
#pragma GCC optimize("Ofast")
#define _GLIBCXX_DEBUG
using namespace std;
using std::cout;
using std::cin;
using std::endl;
using ll=long long;
using ld=long double;
ll ILL=1167167167167167167;
const int INF=2100000000;
const ll mod=998244353;
#define rep(i,a) for (ll i=0;i<a;i++)
#define all(p) p.begin(),p.end()
template<class T> using _pq = priority_queue<T, vector<T>, greater<T>>;
template<class T> ll LB(vector<T> &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();}
template<class T> ll UB(vector<T> &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();}
template<class T> bool chmin(T &a,const T &b){if(a>b){a=b;return 1;}else return 0;}
template<class T> bool chmax(T &a,const T &b){if(a<b){a=b;return 1;}else return 0;}
template<class T> void So(vector<T> &v) {sort(v.begin(),v.end());}
template<class T> void Sore(vector<T> &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});}
void yneos(bool a){if(a) cout<<"Yes\n"; else cout<<"No\n";}
template<class T> void vec_out(vector<T> &p){for(int i=0;i<(int)(p.size());i++){if(i) cout<<" ";cout<<p[i];}cout<<"\n";}

ll f(ll A){
	ll l=0,r=1e6;
	while(r-l>1){
		ll med=(l+r)/2;
		if(med*med*med>A) r=med;
		else l=med;
	}
	return l;
}

void solve();
// oddloop
int main() {
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	
	int t=1;
	//cin>>t;
	rep(i,t) solve();
}

void solve(){
	ll N;
	cin>>N;
	ll ans=0;
	int J=0;
	for(ll i=1;i<=N+3;i++){
		if(J==0&&i*i*i*i>=N*N*27ll){
			J=1;
		}
		if((N*N)%i!=0) continue;
		if(J==0) continue;
		ll tmp=(N*N)/i;
		ll up=f(tmp);
		for(ll a=1;a<=min(up,i/3);a++){
			if(tmp%a!=0) continue;
			ll X=tmp/a;
			ll Y=i-a;
			if(X>((Y+1)/2)*(Y/2)) continue;
			for(ll b=a;true;b++){
				if(X/b<b) break;
				if(X%b!=0) continue;
				ll c=Y-b; 
				if(c*b==X) ans++;
			}
		}
	}
	cout<<ans<<"\n";
}