totient function constants

sum_(n = 1)^∞ 1/(ϕ(n) σ_1(n)) | = | product_(p prime)(1 + sum_(k = 1)^∞ 1/(p^(2k) - p^(k - 1))) | = | 1.78658... (OEIS A093827), where ϕ(n) is the totient function and σ_1(n) is the divisor function.