48163584 has 216 divisors, whose sum is σ = 160642048. Its totient is φ = 12533760.

The previous prime is 48163573. The next prime is 48163597. The reversal of 48163584 is 48536184.

48163584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (92160) is a multiple of the sum of its prime divisors (60).

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 23 ways as a sum of consecutive naturals, for example, 1553649 + ... + 1553679.

Almost surely, 2^48163584 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 48163584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80321024).

48163584 is an abundant number, since it is smaller than the sum of its proper divisors (112478464).

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

48163584 is a wasteful number, since it uses less digits than its factorization.

48163584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 60 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 48163584 is about 6939.9988472622. The cubic root of 48163584 is about 363.8365002537.

The spelling of 48163584 in words is "forty-eight million, one hundred sixty-three thousand, five hundred eighty-four".