54768 has 40 divisors (see below), whose sum is σ = 162688. Its totient is φ = 15552.

The previous prime is 54767. The next prime is 54773. The reversal of 54768 is 86745.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255 + ... + 417.

54768 is a Friedman number, since it can be written as 7*(48+6^5), using all its digits and the basic arithmetic operations.

2⁵⁴⁷⁶⁸ 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 54768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81344).

54768 is an abundant number, since it is smaller than the sum of its proper divisors (107920).

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

54768 is a wasteful number, since it uses less digits than its factorization.

54768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 175 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 54768 is about 234.0256396210. The cubic root of 54768 is about 37.9759774299.

The spelling of 54768 in words is "fifty-four thousand, seven hundred sixty-eight".