540756 has 30 divisors (see below), whose sum is σ = 1414490. Its totient is φ = 180144.

The previous prime is 540751. The next prime is 540769. The reversal of 540756 is 657045.

It can be written as a sum of positive squares in only one way, i.e., 467856 + 72900 = 684^2 + 270^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540751) by changing a digit.

540756 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 511 + ... + 1158.

2⁵⁴⁰⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

540756 is an abundant number, since it is smaller than the sum of its proper divisors (873734).

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

540756 is a wasteful number, since it uses less digits than its factorization.

540756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 540756 is about 735.3611357694. The cubic root of 540756 is about 81.4705126241.

It can be divided in two parts, 540 and 756, that added together give a 4-th power (1296 = 6⁴).

The spelling of 540756 in words is "five hundred forty thousand, seven hundred fifty-six".