54123168 has 96 divisors (see below), whose sum is σ = 156764160. Its totient is φ = 16213760.

The previous prime is 54123143. The next prime is 54123169. The reversal of 54123168 is 86132145.

54123168 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 (96).

It is not an unprimeable number, because it can be changed into a prime (54123169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112753 + ... + 113231.

It is an arithmetic number, because the mean of its divisors is an integer number (1632960).

Almost surely, 2^54123168 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 54123168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78382080).

54123168 is an abundant number, since it is smaller than the sum of its proper divisors (102640992).

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

54123168 is a wasteful number, since it uses less digits than its factorization.

54123168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 602 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 54123168 is about 7356.8449759391. The cubic root of 54123168 is about 378.2634707479.

The spelling of 54123168 in words is "fifty-four million, one hundred twenty-three thousand, one hundred sixty-eight".