41966064 has 240 divisors, whose sum is σ = 148561920. Its totient is φ = 10782720.

The previous prime is 41966063. The next prime is 41966077. The reversal of 41966064 is 46066914.

41966064 is a `hidden beast` number, since 41 + 9 + 6 + 606 + 4 = 666.

It is a super-2 number, since 2×41966064² = 3522301055304192, which contains 22 as substring.

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 (41966063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 531177 + ... + 531255.

It is an arithmetic number, because the mean of its divisors is an integer number (619008).

Almost surely, 2^41966064 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 41966064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74280960).

41966064 is an abundant number, since it is smaller than the sum of its proper divisors (106595856).

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

41966064 is a wasteful number, since it uses less digits than its factorization.

41966064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 41966064 is about 6478.1219500716. The cubic root of 41966064 is about 347.5090182778.

The spelling of 41966064 in words is "forty-one million, nine hundred sixty-six thousand, sixty-four".