54006624 has 216 divisors, whose sum is σ = 184864680. Its totient is φ = 14902272.

The previous prime is 54006583. The next prime is 54006661. The reversal of 54006624 is 42660045.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 606772 + ... + 606860.

It is an arithmetic number, because the mean of its divisors is an integer number (855855).

Almost surely, 2^54006624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54006624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92432340).

54006624 is an abundant number, since it is smaller than the sum of its proper divisors (130858056).

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

54006624 is a wasteful number, since it uses less digits than its factorization.

54006624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 54006624 is about 7348.9199206414. The cubic root of 54006624 is about 377.9917693681.

Adding to 54006624 its reverse (42660045), we get a palindrome (96666669).

The spelling of 54006624 in words is "fifty-four million, six thousand, six hundred twenty-four".