54351648 has 120 divisors (see below), whose sum is σ = 172249308. Its totient is φ = 16713216.

The previous prime is 54351643. The next prime is 54351667. The reversal of 54351648 is 84615345.

It is a happy number.

54351648 is a `hidden beast` number, since 5 + 4 + 3 + 5 + 1 + 648 = 666.

54351648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 53406864 + 944784 = 7308^2 + 972^2 .

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

It is not an unprimeable number, because it can be changed into a prime (54351643) 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 19 ways as a sum of consecutive naturals, for example, 32890 + ... + 34502.

Almost surely, 2^54351648 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 54351648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86124654).

54351648 is an abundant number, since it is smaller than the sum of its proper divisors (117897660).

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

54351648 is a wasteful number, since it uses less digits than its factorization.

54351648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1631 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 54351648 is about 7372.3570179421. The cubic root of 54351648 is about 378.7950010249.

The spelling of 54351648 in words is "fifty-four million, three hundred fifty-one thousand, six hundred forty-eight".