41566720 has 80 divisors (see below), whose sum is σ = 107415000. Its totient is φ = 15335424.

The previous prime is 41566703. The next prime is 41566741. The reversal of 41566720 is 2766514.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24127744 + 17438976 = 4912^2 + 4176^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32656 + ... + 33904.

Almost surely, 2^41566720 is an apocalyptic number.

41566720 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 41566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53707500).

41566720 is an abundant number, since it is smaller than the sum of its proper divisors (65848280).

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

41566720 is a wasteful number, since it uses less digits than its factorization.

41566720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 41566720 is about 6447.2257599684. The cubic root of 41566720 is about 346.4032186478.

The spelling of 41566720 in words is "forty-one million, five hundred sixty-six thousand, seven hundred twenty".