540684 has 36 divisors (see below), whose sum is σ = 1428336. Its totient is φ = 172128.

The previous prime is 540679. The next prime is 540689. The reversal of 540684 is 486045.

It is an interprime number because it is at equal distance from previous prime (540679) and next prime (540689).

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (540689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 502 + ... + 1154.

It is an arithmetic number, because the mean of its divisors is an integer number (39676).

2⁵⁴⁰⁶⁸⁴ 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 540684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714168).

540684 is an abundant number, since it is smaller than the sum of its proper divisors (887652).

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

540684 is a wasteful number, since it uses less digits than its factorization.

540684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 540684 is about 735.3121786017. The cubic root of 540684 is about 81.4668966141.

The spelling of 540684 in words is "five hundred forty thousand, six hundred eighty-four".