54315624 has 64 divisors (see below), whose sum is σ = 148861440. Its totient is φ = 16378560.

The previous prime is 54315617. The next prime is 54315641. The reversal of 54315624 is 42651345.

54315624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 54315591 and 54315600.

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 15 ways as a sum of consecutive naturals, for example, 74349 + ... + 75075.

It is an arithmetic number, because the mean of its divisors is an integer number (2325960).

Almost surely, 2^54315624 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 54315624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74430720).

54315624 is an abundant number, since it is smaller than the sum of its proper divisors (94545816).

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

54315624 is a wasteful number, since it uses less digits than its factorization.

54315624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1026 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 54315624 is about 7369.9134323274. The cubic root of 54315624 is about 378.7112947192.

Adding to 54315624 its reverse (42651345), we get a palindrome (96966969).

The spelling of 54315624 in words is "fifty-four million, three hundred fifteen thousand, six hundred twenty-four".