56005540 has 36 divisors (see below), whose sum is σ = 124143516. Its totient is φ = 21220416.

The previous prime is 56005493. The next prime is 56005541. The reversal of 56005540 is 4550065.

56005540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 33802596 + 22202944 = 5814^2 + 4712^2 .

It is not an unprimeable number, because it can be changed into a prime (56005541) 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 11 ways as a sum of consecutive naturals, for example, 3342 + ... + 11098.

It is an arithmetic number, because the mean of its divisors is an integer number (3448431).

Almost surely, 2^56005540 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 56005540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62071758).

56005540 is an abundant number, since it is smaller than the sum of its proper divisors (68137976).

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

56005540 is a wasteful number, since it uses less digits than its factorization.

56005540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7804 (or 7783 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 56005540 is about 7483.6849212136. The cubic root of 56005540 is about 382.5988523751.

The spelling of 56005540 in words is "fifty-six million, five thousand, five hundred forty".