540086040 has 192 divisors, whose sum is σ = 1942012800. Its totient is φ = 129309696.

The previous prime is 540085981. The next prime is 540086051. The reversal of 540086040 is 40680045.

540086040 is a `hidden beast` number, since 54 + 0 + 0 + 8 + 604 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 540085995 and 540086013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171601 + ... + 174719.

It is an arithmetic number, because the mean of its divisors is an integer number (10114650).

Almost surely, 2^540086040 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 540086040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971006400).

540086040 is an abundant number, since it is smaller than the sum of its proper divisors (1401926760).

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

540086040 is a wasteful number, since it uses less digits than its factorization.

540086040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3186 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 540086040 is about 23239.7512895470. The cubic root of 540086040 is about 814.3685324023.

The spelling of 540086040 in words is "five hundred forty million, eighty-six thousand, forty".