54345600 has 384 divisors, whose sum is σ = 216280800. Its totient is φ = 13271040.

The previous prime is 54345589. The next prime is 54345607. The reversal of 54345600 is 654345.

54345600 is a `hidden beast` number, since 54 + 3 + 4 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54345607) 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, 1468782 + ... + 1468818.

Almost surely, 2^54345600 is an apocalyptic number.

54345600 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 54345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108140400).

54345600 is an abundant number, since it is smaller than the sum of its proper divisors (161935200).

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

54345600 is a wasteful number, since it uses less digits than its factorization.

54345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

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

The square root of 54345600 is about 7371.9468256357. The cubic root of 54345600 is about 378.7809503185.

Adding to 54345600 its reverse (654345), we get a palindrome (54999945).

It can be divided in two parts, 54345 and 600, that added together give a palindrome (54945).

The spelling of 54345600 in words is "fifty-four million, three hundred forty-five thousand, six hundred".