54045648 has 60 divisors (see below), whose sum is σ = 156144768. Its totient is φ = 17432640.

The previous prime is 54045643. The next prime is 54045659. The reversal of 54045648 is 84654045.

54045648 is a `hidden beast` number, since 5 + 4 + 0 + 4 + 5 + 648 = 666.

54045648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54045643) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1590 + ... + 10517.

Almost surely, 2^54045648 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 54045648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78072384).

54045648 is an abundant number, since it is smaller than the sum of its proper divisors (102099120).

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

54045648 is a wasteful number, since it uses less digits than its factorization.

54045648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12152 (or 12143 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 54045648 is about 7351.5745252293. The cubic root of 54045648 is about 378.0827902978.

The spelling of 54045648 in words is "fifty-four million, forty-five thousand, six hundred forty-eight".