56260 has 24 divisors (see below), whose sum is σ = 123480. Its totient is φ = 21504.

The previous prime is 56249. The next prime is 56263. The reversal of 56260 is 6265.

It can be written as a sum of positive squares in 4 ways, for example, as 5184 + 51076 = 72^2 + 226^2 .

It is a plaindrome in base 6.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (56263) 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, 532 + ... + 628.

It is an arithmetic number, because the mean of its divisors is an integer number (5145).

2⁵⁶²⁶⁰ 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 56260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61740).

56260 is an abundant number, since it is smaller than the sum of its proper divisors (67220).

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

56260 is a wasteful number, since it uses less digits than its factorization.

56260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 56260 is about 237.1919054268. The cubic root of 56260 is about 38.3177420316.

The spelling of 56260 in words is "fifty-six thousand, two hundred sixty".