41566680 has 192 divisors, whose sum is σ = 146016000. Its totient is φ = 10222848.

The previous prime is 41566667. The next prime is 41566703. The reversal of 41566680 is 8666514.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403509 + ... + 403611.

It is an arithmetic number, because the mean of its divisors is an integer number (760500).

Almost surely, 2^41566680 is an apocalyptic number.

41566680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41566680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73008000).

41566680 is an abundant number, since it is smaller than the sum of its proper divisors (104449320).

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

41566680 is a wasteful number, since it uses less digits than its factorization.

41566680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 41566680 is about 6447.2226578582. Note that the first 3 decimals coincide. The cubic root of 41566680 is about 346.4031075322.

The spelling of 41566680 in words is "forty-one million, five hundred sixty-six thousand, six hundred eighty".