51168 has 48 divisors (see below), whose sum is σ = 148176. Its totient is φ = 15360.

The previous prime is 51157. The next prime is 51169. The reversal of 51168 is 86115.

51168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51169) 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, 1228 + ... + 1268.

It is an arithmetic number, because the mean of its divisors is an integer number (3087).

2⁵¹¹⁶⁸ 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 51168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74088).

51168 is an abundant number, since it is smaller than the sum of its proper divisors (97008).

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

51168 is a wasteful number, since it uses less digits than its factorization.

51168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 59 counting only the distinct ones).

The product of its digits is 240, while the sum is 21.

The square root of 51168 is about 226.2034482496. The cubic root of 51168 is about 37.1249730753.

The spelling of 51168 in words is "fifty-one thousand, one hundred sixty-eight".