41684560 has 40 divisors (see below), whose sum is σ = 97259400. Its totient is φ = 16614912.

The previous prime is 41684557. The next prime is 41684569. The reversal of 41684560 is 6548614.

It can be written as a sum of positive squares in 4 ways, for example, as 15429184 + 26255376 = 3928^2 + 5124^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41684569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27174 + ... + 28666.

It is an arithmetic number, because the mean of its divisors is an integer number (2431485).

Almost surely, 2^41684560 is an apocalyptic number.

41684560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41684560 is an abundant number, since it is smaller than the sum of its proper divisors (55574840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41684560 is a wasteful number, since it uses less digits than its factorization.

41684560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 41684560 is about 6456.3581065489. The cubic root of 41684560 is about 346.7302562508.

The spelling of 41684560 in words is "forty-one million, six hundred eighty-four thousand, five hundred sixty".