54549600 has 288 divisors, whose sum is σ = 215986176. Its totient is φ = 11673600.

The previous prime is 54549569. The next prime is 54549601. The reversal of 54549600 is 694545.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54549601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285505 + ... + 285695.

It is an arithmetic number, because the mean of its divisors is an integer number (749952).

Almost surely, 2^54549600 is an apocalyptic number.

54549600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54549600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107993088).

54549600 is an abundant number, since it is smaller than the sum of its proper divisors (161436576).

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

54549600 is a wasteful number, since it uses less digits than its factorization.

54549600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 54549600 is about 7385.7701020273. The cubic root of 54549600 is about 379.2543086595.

The spelling of 54549600 in words is "fifty-four million, five hundred forty-nine thousand, six hundred".