54648240 has 80 divisors (see below), whose sum is σ = 171045600. Its totient is φ = 14432256.

The previous prime is 54648229. The next prime is 54648271. The reversal of 54648240 is 4284645.

54648240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25116 + ... + 27204.

It is an arithmetic number, because the mean of its divisors is an integer number (2138070).

Almost surely, 2^54648240 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 54648240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85522800).

54648240 is an abundant number, since it is smaller than the sum of its proper divisors (116397360).

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

54648240 is a wasteful number, since it uses less digits than its factorization.

54648240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 54648240 is about 7392.4447918128. Note that the first 3 decimals coincide. The cubic root of 54648240 is about 379.4827681337.

The spelling of 54648240 in words is "fifty-four million, six hundred forty-eight thousand, two hundred forty".