41556564 has 120 divisors (see below), whose sum is σ = 126358848. Its totient is φ = 11664000.

The previous prime is 41556563. The next prime is 41556583. The reversal of 41556564 is 46565514.

41556564 is a `hidden beast` number, since 41 + 5 + 56 + 564 = 666.

It is a super-2 number, since 2×41556564² = 3453896022972192, 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 (41556563) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 165439 + ... + 165689.

Almost surely, 2^41556564 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 41556564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63179424).

41556564 is an abundant number, since it is smaller than the sum of its proper divisors (84802284).

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

41556564 is a wasteful number, since it uses less digits than its factorization.

41556564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 336 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 41556564 is about 6446.4380862613. The cubic root of 41556564 is about 346.3750041078.

The spelling of 41556564 in words is "forty-one million, five hundred fifty-six thousand, five hundred sixty-four".