541605564 has 144 divisors (see below), whose sum is σ = 1520064000. Its totient is φ = 161834112.

The previous prime is 541605563. The next prime is 541605607. The reversal of 541605564 is 465506145.

541605564 is a `hidden beast` number, since 5 + 41 + 60 + 556 + 4 = 666.

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 (541605563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2721537 + ... + 2721735.

It is an arithmetic number, because the mean of its divisors is an integer number (10556000).

Almost surely, 2^541605564 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 541605564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760032000).

541605564 is an abundant number, since it is smaller than the sum of its proper divisors (978458436).

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

541605564 is a wasteful number, since it uses less digits than its factorization.

541605564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 419 counting only the distinct ones).

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

The square root of 541605564 is about 23272.4206734065. The cubic root of 541605564 is about 815.1315551621.

The spelling of 541605564 in words is "five hundred forty-one million, six hundred five thousand, five hundred sixty-four".