54075168 has 96 divisors (see below), whose sum is σ = 180270720. Its totient is φ = 15448320.

The previous prime is 54075163. The next prime is 54075173. The reversal of 54075168 is 86157045.

54075168 is a `hidden beast` number, since 540 + 7 + 51 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (54075163) and next prime (54075173).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54075163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1578 + ... + 10518.

It is an arithmetic number, because the mean of its divisors is an integer number (1877820).

Almost surely, 2^54075168 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 54075168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90135360).

54075168 is an abundant number, since it is smaller than the sum of its proper divisors (126195552).

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

54075168 is a wasteful number, since it uses less digits than its factorization.

54075168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8967 (or 8953 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 54075168 is about 7353.5819843121. The cubic root of 54075168 is about 378.1516146647.

The spelling of 54075168 in words is "fifty-four million, seventy-five thousand, one hundred sixty-eight".