54688 has 12 divisors (see below), whose sum is σ = 107730. Its totient is φ = 27328.

The previous prime is 54679. The next prime is 54709. The reversal of 54688 is 88645.

54688 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in only one way, i.e., 51984 + 2704 = 228^2 + 52^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 823 + ... + 886.

2⁵⁴⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

54688 is a deficient number, since it is larger than the sum of its proper divisors (53042).

54688 is a wasteful number, since it uses less digits than its factorization.

54688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1711 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 54688 is about 233.8546557159. The cubic root of 54688 is about 37.9574778277.

It can be divided in two parts, 5468 and 8, that added together give a square (5476 = 74²).

The spelling of 54688 in words is "fifty-four thousand, six hundred eighty-eight".