#include<bits/stdc++.h>
using namespace std;
#define ALL(x) x.begin(),x.end()
#define rep(i,n) for(int i=0;i<(n);i++)
#define debug(v) cout<<#v<<":";for(auto x:v){cout<<x<<' ';}cout<<endl;
#define mod 1000000007
using ll=long long;
const int INF=1000000000;
const ll LINF=1001002003004005006ll;
int dx[]={1,0,-1,0};
int dy[]={0,1,0,-1};
// ll gcd(ll a,ll b){return b?gcd(b,a%b):a;}
template<class T>bool chmax(T &a,const T &b){if(a<b){a=b;return true;}return false;}
template<class T>bool chmin(T &a,const T &b){if(b<a){a=b;return true;}return false;}

struct IOSetup{
    IOSetup(){
        cin.tie(0);
        ios::sync_with_stdio(0);
        cout<<fixed<<setprecision(12);
    }
} iosetup;

template<typename T1,typename T2>
ostream &operator<<(ostream &os,const pair<T1,T2>&p){
    os<<p.first<<" "<<p.second;
    return os;
}

template<typename T>
ostream &operator<<(ostream &os,const vector<T>&v){
    for(int i=0;i<(int)v.size();i++) os<<v[i]<<(i+1==v.size()?"":" ");
    return os;
}

vector<ll> divisor(ll n) {
    vector<ll> ret;
    for(ll i=1; i*i<=n; i++) {
        if(n % i == 0) {
            ret.push_back(i);
            if(n / i != i) ret.push_back(n/i);
        }
    }
    return ret;
}

signed main(){
    ll n,ans=0;cin>>n;
    auto v=divisor(n*n);
    sort(ALL(v));
    rep(i,v.size()){
        ll x=v[i];
        for(int j=i;j<v.size();j++){
            ll y=v[j];
            if((x+y)*x*y>n*n) break;
            for(int k=j;k<v.size();k++){
                ll z=v[k];
                ll s=(x+y+z)*x*y*z;
                if(s>n*n)break;
                if(s==n*n)ans++;
            }
        }
    }
    cout<<ans<<endl;
    return 0;
}