41566564 has 36 divisors (see below), whose sum is σ = 83423844. Its totient is φ = 18051072.

The previous prime is 41566519. The next prime is 41566571. The reversal of 41566564 is 46566514.

It can be written as a sum of positive squares in 6 ways, for example, as 13264164 + 28302400 = 3642^2 + 5320^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9684 + ... + 13300.

It is an arithmetic number, because the mean of its divisors is an integer number (2317329).

Almost surely, 2^41566564 is an apocalyptic number.

It is an amenable number.

41566564 is an abundant number, since it is smaller than the sum of its proper divisors (41857280).

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

41566564 is a wasteful number, since it uses less digits than its factorization.

41566564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 3649 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The square root of 41566564 is about 6447.2136617302. The cubic root of 41566564 is about 346.4027852966.

The spelling of 41566564 in words is "forty-one million, five hundred sixty-six thousand, five hundred sixty-four".