540706752 has 140 divisors (see below), whose sum is σ = 1646727720. Its totient is φ = 175302144.

The previous prime is 540706723. The next prime is 540706757. The reversal of 540706752 is 257607045.

540706752 is a `hidden beast` number, since 540 + 7 + 0 + 67 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540706757) 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 19 ways as a sum of consecutive naturals, for example, 190399 + ... + 193217.

Almost surely, 2^540706752 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 540706752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823363860).

540706752 is an abundant number, since it is smaller than the sum of its proper divisors (1106020968).

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

540706752 is a wasteful number, since it uses less digits than its factorization.

540706752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 540706752 is about 23253.1019866168. The cubic root of 540706752 is about 814.6803930793.

The spelling of 540706752 in words is "five hundred forty million, seven hundred six thousand, seven hundred fifty-two".