54123600 has 240 divisors, whose sum is σ = 189309312. Its totient is φ = 13178880.

The previous prime is 54123593. The next prime is 54123617. The reversal of 54123600 is 632145.

54123600 = 1523² + 1524² + ... + 1545².

It is a happy number.

54123600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 1021174 + ... + 1021226.

Almost surely, 2^54123600 is an apocalyptic number.

54123600 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 54123600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94654656).

54123600 is an abundant number, since it is smaller than the sum of its proper divisors (135185712).

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

54123600 is a wasteful number, since it uses less digits than its factorization.

54123600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 54123600 is about 7356.8743362926. The cubic root of 54123600 is about 378.2644771523.

Adding to 54123600 its reverse (632145), we get a palindrome (54755745).

The spelling of 54123600 in words is "fifty-four million, one hundred twenty-three thousand, six hundred".