540864 has 56 divisors (see below), whose sum is σ = 1595120. Its totient is φ = 179712.

The previous prime is 540863. The next prime is 540871. The reversal of 540864 is 468045.

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (540863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1572 + ... + 1884.

2⁵⁴⁰⁸⁶⁴ is an apocalyptic number.

540864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797560).

540864 is an abundant number, since it is smaller than the sum of its proper divisors (1054256).

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

540864 is a wasteful number, since it uses less digits than its factorization.

540864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 318 counting only the distinct ones).

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

The square root of 540864 is about 735.4345654101. The cubic root of 540864 is about 81.4759360372.

The spelling of 540864 in words is "five hundred forty thousand, eight hundred sixty-four".