541061856 has 144 divisors (see below), whose sum is σ = 1689904944. Its totient is φ = 169703424.

The previous prime is 541061849. The next prime is 541061881. The reversal of 541061856 is 658160145.

541061856 is a `hidden beast` number, since 541 + 0 + 61 + 8 + 56 = 666.

541061856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 541061856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130146 + ... + 134238.

It is an arithmetic number, because the mean of its divisors is an integer number (11735451).

Almost surely, 2^541061856 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 541061856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844952472).

541061856 is an abundant number, since it is smaller than the sum of its proper divisors (1148843088).

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

541061856 is a wasteful number, since it uses less digits than its factorization.

541061856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4135 (or 4115 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 541061856 is about 23260.7363597974. The cubic root of 541061856 is about 814.8586985764.

The spelling of 541061856 in words is "five hundred forty-one million, sixty-one thousand, eight hundred fifty-six".