54624000 has 144 divisors (see below), whose sum is σ = 181752480. Its totient is φ = 14540800.

The previous prime is 54623977. The next prime is 54624001. The reversal of 54624000 is 42645.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54624001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95716 + ... + 96284.

It is an arithmetic number, because the mean of its divisors is an integer number (1262170).

Almost surely, 2^54624000 is an apocalyptic number.

54624000 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 54624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90876240).

54624000 is an abundant number, since it is smaller than the sum of its proper divisors (127128480).

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

54624000 is an equidigital number, since it uses as much as digits as its factorization.

54624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 54624000 is about 7390.8050982285. The cubic root of 54624000 is about 379.4266515189.

Adding to 54624000 its reverse (42645), we get a palindrome (54666645).

The spelling of 54624000 in words is "fifty-four million, six hundred twenty-four thousand".