48576096 has 72 divisors (see below), whose sum is σ = 139177584. Its totient is φ = 16070400.

The previous prime is 48576091. The next prime is 48576097. The reversal of 48576096 is 69067584.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48576091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42930 + ... + 44046.

It is an arithmetic number, because the mean of its divisors is an integer number (1933022).

Almost surely, 2^48576096 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 48576096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69588792).

48576096 is an abundant number, since it is smaller than the sum of its proper divisors (90601488).

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

48576096 is a wasteful number, since it uses less digits than its factorization.

48576096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 48576096 is about 6969.6553716809. The cubic root of 48576096 is about 364.8722790761.

The spelling of 48576096 in words is "forty-eight million, five hundred seventy-six thousand, ninety-six".