54003168 has 144 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 16692480.

The previous prime is 54003163. The next prime is 54003193. The reversal of 54003168 is 86130045.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54003163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388443 + ... + 388581.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^54003168 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 54003168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

54003168 is an abundant number, since it is smaller than the sum of its proper divisors (111107232).

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

54003168 is a wasteful number, since it uses less digits than its factorization.

54003168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 54003168 is about 7348.6847802855. The cubic root of 54003168 is about 377.9837063607.

The spelling of 54003168 in words is "fifty-four million, three thousand, one hundred sixty-eight".