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A Niven number is a positive integer which is divisible by its digital sum. A discussion of the possibility of an asymptotic formula forN(x)is given. Here,N(x)denotes the nmber of Niven numbers less thanx. A partial result will be presented. This result will be an asymptotic formula forNk(x)which denotes the number of Niven numbers less thanxwith digital sumk.doi:10.1155/s0161171285000576 fatcat:wkk75kozk5fvxci2m2kf6fqvv4