540386560 has 144 divisors (see below), whose sum is σ = 1516419072. Its totient is φ = 180633600.

The previous prime is 540386549. The next prime is 540386593. The reversal of 540386560 is 65683045.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366625 + ... + 368095.

It is an arithmetic number, because the mean of its divisors is an integer number (10530688).

Almost surely, 2^540386560 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 540386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758209536).

540386560 is an abundant number, since it is smaller than the sum of its proper divisors (976032512).

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

540386560 is a wasteful number, since it uses less digits than its factorization.

540386560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 540386560 is about 23246.2160361638. The cubic root of 540386560 is about 814.5195507184.

The spelling of 540386560 in words is "five hundred forty million, three hundred eighty-six thousand, five hundred sixty".