54318240 has 144 divisors (see below), whose sum is σ = 188461728. Its totient is φ = 14243328.

The previous prime is 54318227. The next prime is 54318241. The reversal of 54318240 is 4281345.

54318240 is a `hidden beast` number, since 543 + 1 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (54318241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96199 + ... + 96761.

It is an arithmetic number, because the mean of its divisors is an integer number (1308762).

Almost surely, 2^54318240 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 54318240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94230864).

54318240 is an abundant number, since it is smaller than the sum of its proper divisors (134143488).

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

54318240 is a wasteful number, since it uses less digits than its factorization.

54318240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 54318240 is about 7370.0909085302. The cubic root of 54318240 is about 378.7173745710.

Adding to 54318240 its reverse (4281345), we get a palindrome (58599585).

The spelling of 54318240 in words is "fifty-four million, three hundred eighteen thousand, two hundred forty".