54144320 has 112 divisors (see below), whose sum is σ = 140726160. Its totient is φ = 19759104.

The previous prime is 54144317. The next prime is 54144373. The reversal of 54144320 is 2344145.

It can be written as a sum of positive squares in 8 ways, for example, as 92416 + 54051904 = 304^2 + 7352^2 .

It is a super-3 number, since 3×54144320³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201146 + ... + 201414.

Almost surely, 2^54144320 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 54144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70363080).

54144320 is an abundant number, since it is smaller than the sum of its proper divisors (86581840).

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

54144320 is a wasteful number, since it uses less digits than its factorization.

54144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 54144320 is about 7358.2824082798. The cubic root of 54144320 is about 378.3127410028.

Adding to 54144320 its reverse (2344145), we get a palindrome (56488465).

The spelling of 54144320 in words is "fifty-four million, one hundred forty-four thousand, three hundred twenty".