56540 has 24 divisors (see below), whose sum is σ = 130032. Its totient is φ = 20480.

The previous prime is 56533. The next prime is 56543. The reversal of 56540 is 4565.

56540 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (20).

56540 is an undulating number in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56543) 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, 92 + ... + 348.

It is an arithmetic number, because the mean of its divisors is an integer number (5418).

2⁵⁶⁵⁴⁰ 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 56540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65016).

56540 is an abundant number, since it is smaller than the sum of its proper divisors (73492).

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

56540 is a wasteful number, since it uses less digits than its factorization.

56540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 56540 is about 237.7814122256. The cubic root of 56540 is about 38.3812046329.

The spelling of 56540 in words is "fifty-six thousand, five hundred forty".