54276768 has 288 divisors, whose sum is σ = 201801600. Its totient is φ = 13436928.

The previous prime is 54276721. The next prime is 54276769. The reversal of 54276768 is 86767245.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (54276769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497898 + ... + 498006.

It is an arithmetic number, because the mean of its divisors is an integer number (700700).

Almost surely, 2^54276768 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 54276768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100900800).

54276768 is an abundant number, since it is smaller than the sum of its proper divisors (147524832).

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

54276768 is a wasteful number, since it uses less digits than its factorization.

54276768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 153 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 54276768 is about 7367.2768374753. The cubic root of 54276768 is about 378.6209664039.

The spelling of 54276768 in words is "fifty-four million, two hundred seventy-six thousand, seven hundred sixty-eight".