54096 has 60 divisors (see below), whose sum is σ = 169632. Its totient is φ = 14784.

The previous prime is 54091. The next prime is 54101. The reversal of 54096 is 69045.

It is an interprime number because it is at equal distance from previous prime (54091) and next prime (54101).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54091) by changing a digit.

54096 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 in 11 ways as a sum of consecutive naturals, for example, 2341 + ... + 2363.

2⁵⁴⁰⁹⁶ is an apocalyptic number.

54096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84816).

54096 is an abundant number, since it is smaller than the sum of its proper divisors (115536).

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

54096 is a wasteful number, since it uses less digits than its factorization.

54096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 54096 is about 232.5854681617. The cubic root of 54096 is about 37.8200168331.

It can be divided in two parts, 540 and 96, that added together give a palindrome (636).

The spelling of 54096 in words is "fifty-four thousand, ninety-six".