540568 has 32 divisors (see below), whose sum is σ = 1188000. Its totient is φ = 230496.

The previous prime is 540559. The next prime is 540577. The reversal of 540568 is 865045.

540568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (540559) and next prime (540577).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

540568 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2646 + ... + 2842.

It is an arithmetic number, because the mean of its divisors is an integer number (37125).

2⁵⁴⁰⁵⁶⁸ 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 540568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594000).

540568 is an abundant number, since it is smaller than the sum of its proper divisors (647432).

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

540568 is a wasteful number, since it uses less digits than its factorization.

540568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 540568 is about 735.2332963080. The cubic root of 540568 is about 81.4610701450.

540568 divided by its sum of digits (28) gives a triangular number (19306 = T₁₉₆).

The spelling of 540568 in words is "five hundred forty thousand, five hundred sixty-eight".