54864 has 40 divisors (see below), whose sum is σ = 158720. Its totient is φ = 18144.
The previous prime is 54851. The next prime is 54869. The reversal of 54864 is 46845.
It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nialpdrome in base 16.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (54869) by changing a digit.
54864 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 7 ways as a sum of consecutive naturals, for example, 369 + ... + 495.
It is an arithmetic number, because the mean of its divisors is an integer number (3968).
254864 is an apocalyptic number.
54864 is a gapful number since it is divisible by the number (54) 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 54864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79360).
54864 is an abundant number, since it is smaller than the sum of its proper divisors (103856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54864 is a wasteful number, since it uses less digits than its factorization.
54864 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 144 (or 132 counting only the distinct ones).
The product of its digits is 3840, while the sum is 27.
The square root of 54864 is about 234.2306555513. The cubic root of 54864 is about 37.9981531882.
It can be divided in two parts, 54 and 864, that multiplied together give a 6-th power (46656 = 66).
The spelling of 54864 in words is "fifty-four thousand, eight hundred sixty-four".
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