54543600 has 180 divisors, whose sum is σ = 192392200. Its totient is φ = 14307840.

The previous prime is 54543581. The next prime is 54543607. The reversal of 54543600 is 634545.

54543600 is a `hidden beast` number, since 5 + 4 + 54 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×54543600³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54543607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 392331 + ... + 392469.

Almost surely, 2^54543600 is an apocalyptic number.

54543600 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 54543600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96196100).

54543600 is an abundant number, since it is smaller than the sum of its proper divisors (137848600).

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

54543600 is a wasteful number, since it uses less digits than its factorization.

54543600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 54543600 is about 7385.3639043719. The cubic root of 54543600 is about 379.2404032151.

It can be divided in two parts, 5 and 4543600, that added together give a triangular number (4543605 = T₃₀₁₄).

The spelling of 54543600 in words is "fifty-four million, five hundred forty-three thousand, six hundred".