41686164 has 72 divisors (see below), whose sum is σ = 117717600. Its totient is φ = 12822624.

The previous prime is 41686163. The next prime is 41686181. The reversal of 41686164 is 46168614.

41686164 is a `hidden beast` number, since 416 + 86 + 164 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41686163) 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 23 ways as a sum of consecutive naturals, for example, 10987 + ... + 14285.

Almost surely, 2^41686164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41686164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58858800).

41686164 is an abundant number, since it is smaller than the sum of its proper divisors (76031436).

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

41686164 is a wasteful number, since it uses less digits than its factorization.

41686164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331 (or 3317 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 41686164 is about 6456.4823239904. The cubic root of 41686164 is about 346.7347035265.

The spelling of 41686164 in words is "forty-one million, six hundred eighty-six thousand, one hundred sixty-four".