51468 has 12 divisors (see below), whose sum is σ = 120120. Its totient is φ = 17152.

The previous prime is 51461. The next prime is 51473. The reversal of 51468 is 86415.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (51461) by changing a digit.

51468 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 3 ways as a sum of consecutive naturals, for example, 2133 + ... + 2156.

It is an arithmetic number, because the mean of its divisors is an integer number (10010).

2⁵¹⁴⁶⁸ is an apocalyptic number.

It is an amenable number.

51468 is an abundant number, since it is smaller than the sum of its proper divisors (68652).

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 (60060).

51468 is a wasteful number, since it uses less digits than its factorization.

51468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4296 (or 4294 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 51468 is about 226.8655989788. The cubic root of 51468 is about 37.1973867976.

The spelling of 51468 in words is "fifty-one thousand, four hundred sixty-eight".