540563140 has 48 divisors (see below), whose sum is σ = 1225817712. Its totient is φ = 199051776.

The previous prime is 540563137. The next prime is 540563143. The reversal of 540563140 is 41365045.

It is an interprime number because it is at equal distance from previous prime (540563137) and next prime (540563143).

It can be written as a sum of positive squares in 8 ways, for example, as 186624 + 540376516 = 432^2 + 23246^2 .

It is a junction number, because it is equal to n+sod(n) for n = 540563099 and 540563108.

It is not an unprimeable number, because it can be changed into a prime (540563143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100602 + ... + 105838.

It is an arithmetic number, because the mean of its divisors is an integer number (25537869).

Almost surely, 2^540563140 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 540563140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612908856).

540563140 is an abundant number, since it is smaller than the sum of its proper divisors (685254572).

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

540563140 is a wasteful number, since it uses less digits than its factorization.

540563140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5656 (or 5654 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 540563140 is about 23250.0137634368. The cubic root of 540563140 is about 814.6082601780.

The spelling of 540563140 in words is "five hundred forty million, five hundred sixty-three thousand, one hundred forty".