54908832 has 144 divisors (see below), whose sum is σ = 164898720. Its totient is φ = 15966720.

The previous prime is 54908813. The next prime is 54908837. The reversal of 54908832 is 23880945.

It is a happy number.

54908832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (54908837) 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 23 ways as a sum of consecutive naturals, for example, 336783 + ... + 336945.

It is an arithmetic number, because the mean of its divisors is an integer number (1145130).

Almost surely, 2^54908832 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 54908832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82449360).

54908832 is an abundant number, since it is smaller than the sum of its proper divisors (109989888).

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

54908832 is a wasteful number, since it uses less digits than its factorization.

54908832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 54908832 is about 7410.0493925479. The cubic root of 54908832 is about 380.0850040676.

The spelling of 54908832 in words is "fifty-four million, nine hundred eight thousand, eight hundred thirty-two".