48096864 has 144 divisors (see below), whose sum is σ = 146476512. Its totient is φ = 14936064.

The previous prime is 48096827. The next prime is 48096889. The reversal of 48096864 is 46869084.

It is a happy number.

48096864 is a `hidden beast` number, since 480 + 96 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×48096864³ (a number of 24 digits) contains 333 as substring.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351004 + ... + 351140.

It is an arithmetic number, because the mean of its divisors is an integer number (1017198).

Almost surely, 2^48096864 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 48096864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73238256).

48096864 is an abundant number, since it is smaller than the sum of its proper divisors (98379648).

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

48096864 is a wasteful number, since it uses less digits than its factorization.

48096864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 48096864 is about 6935.1902641528. The cubic root of 48096864 is about 363.6684175987.

It can be divided in two parts, 480 and 96864, that added together give a square (97344 = 312²).

The spelling of 48096864 in words is "forty-eight million, ninety-six thousand, eight hundred sixty-four".