54506208 has 48 divisors (see below), whose sum is σ = 144910080. Its totient is φ = 17936256.

The previous prime is 54506201. The next prime is 54506219. The reversal of 54506208 is 80260545.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54506201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3991 + ... + 11177.

It is an arithmetic number, because the mean of its divisors is an integer number (3018960).

Almost surely, 2^54506208 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 54506208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72455040).

54506208 is an abundant number, since it is smaller than the sum of its proper divisors (90403872).

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

54506208 is a wasteful number, since it uses less digits than its factorization.

54506208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7279 (or 7271 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 54506208 is about 7382.8319769584. The cubic root of 54506208 is about 379.1537214972.

The spelling of 54506208 in words is "fifty-four million, five hundred six thousand, two hundred eight".