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666 is an abundant number. It is the sum of the squares of the first seven prime numbers. Since 36 is both square and [triangular], 666 is the sixth number of the form n2(n2 + 1) / 2 (triangular squares) and the eighth number of the form n(n + 1)(n2 + n + 2) / 8 (doubly triangular numbers.) There is no number whose value of Euler's totient function ö is 666, making it a nontotient. The harmonic mean of the digits of 666 is an integer: 3/(1/6 + 1/6 + 1/6) = 6. 666 is the 54th number with this property. In base 10, 666 is a palindromic number, a repdigit and a Smith number. A prime [reciprocal] magic square based [on 1]/149 in base 10 has a magic total of 666. The Roman numeral representation of the number 666 (DCLXVI) uses once each the Roman numeral symbols with values under 1,000, and they occur in exact [reverse order] of their respective values (D = 500, C = 100, L = 50, X = 10, V = 5, I = 1).
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