51860 has 12 divisors (see below), whose sum is σ = 108948. Its totient is φ = 20736.

The previous prime is 51859. The next prime is 51869. The reversal of 51860 is 6815.

It can be written as a sum of positive squares in 2 ways, for example, as 24964 + 26896 = 158^2 + 164^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 2593 = 51860 / (5 + 1 + 8 + 6 + 0).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1277 + ... + 1316.

It is an arithmetic number, because the mean of its divisors is an integer number (9079).

2⁵¹⁸⁶⁰ is an apocalyptic number.

It is an amenable number.

51860 is an abundant number, since it is smaller than the sum of its proper divisors (57088).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54474).

51860 is a wasteful number, since it uses less digits than its factorization.

51860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 51860 is about 227.7279078198. The cubic root of 51860 is about 37.2915845668.

The spelling of 51860 in words is "fifty-one thousand, eight hundred sixty".