540126516 has 96 divisors (see below), whose sum is σ = 1387266048. Its totient is φ = 162823680.

The previous prime is 540126511. The next prime is 540126527. The reversal of 540126516 is 615621045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540126511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1410061 + ... + 1410443.

It is an arithmetic number, because the mean of its divisors is an integer number (14450688).

Almost surely, 2^540126516 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 540126516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693633024).

540126516 is an abundant number, since it is smaller than the sum of its proper divisors (847139532).

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

540126516 is a wasteful number, since it uses less digits than its factorization.

540126516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 540126516 is about 23240.6221087130. The cubic root of 540126516 is about 814.3888758013.

The spelling of 540126516 in words is "five hundred forty million, one hundred twenty-six thousand, five hundred sixteen".