540712627 has 24 divisors (see below), whose sum is σ = 692267040. Its totient is φ = 413038080.

The previous prime is 540712619. The next prime is 540712643. The reversal of 540712627 is 726217045.

540712627 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 540712627 - 2³ = 540712619 is a prime.

It is a super-2 number, since 2×540712627² = 584740289994482258, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 540712592 and 540712601.

It is not an unprimeable number, because it can be changed into a prime (540712607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26427 + ... + 42187.

It is an arithmetic number, because the mean of its divisors is an integer number (28844460).

Almost surely, 2^540712627 is an apocalyptic number.

540712627 is a deficient number, since it is larger than the sum of its proper divisors (151554413).

540712627 is a wasteful number, since it uses less digits than its factorization.

540712627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15823 (or 15810 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 540712627 is about 23253.2283135052. The cubic root of 540712627 is about 814.6833436805.

The spelling of 540712627 in words is "five hundred forty million, seven hundred twelve thousand, six hundred twenty-seven".