54318960 has 120 divisors (see below), whose sum is σ = 187443360. Its totient is φ = 14086656.

The previous prime is 54318941. The next prime is 54318989. The reversal of 54318960 is 6981345.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25621 + ... + 27659.

It is an arithmetic number, because the mean of its divisors is an integer number (1562028).

Almost surely, 2^54318960 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 54318960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93721680).

54318960 is an abundant number, since it is smaller than the sum of its proper divisors (133124400).

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

54318960 is a wasteful number, since it uses less digits than its factorization.

54318960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 54318960 is about 7370.1397544416. The cubic root of 54318960 is about 378.7190478905.

It can be divided in two parts, 54318 and 960, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 54318960 in words is "fifty-four million, three hundred eighteen thousand, nine hundred sixty".