54308672 has 42 divisors (see below), whose sum is σ = 118473474. Its totient is φ = 24682240.

The previous prime is 54308663. The next prime is 54308689. The reversal of 54308672 is 27680345.

It is a happy number.

54308672 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 only one way, i.e., 52070656 + 2238016 = 7216^2 + 1496^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 4238 + ... + 11250.

It is an arithmetic number, because the mean of its divisors is an integer number (2820797).

Almost surely, 2^54308672 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 54308672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59236737).

54308672 is an abundant number, since it is smaller than the sum of its proper divisors (64164802).

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

54308672 is a wasteful number, since it uses less digits than its factorization.

54308672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7047 (or 7026 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 54308672 is about 7369.4417699036. The cubic root of 54308672 is about 378.6951366106.

The spelling of 54308672 in words is "fifty-four million, three hundred eight thousand, six hundred seventy-two".