48064576 has 56 divisors (see below), whose sum is σ = 115433856. Its totient is φ = 19384320.

The previous prime is 48064537. The next prime is 48064579. The reversal of 48064576 is 67546084.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×48064576³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48064579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4461 + ... + 10771.

Almost surely, 2^48064576 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 48064576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57716928).

48064576 is an abundant number, since it is smaller than the sum of its proper divisors (67369280).

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

48064576 is a wasteful number, since it uses less digits than its factorization.

48064576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6347 (or 6337 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 48064576 is about 6932.8620352636. The cubic root of 48064576 is about 363.5870210625.

It can be divided in two parts, 480 and 64576, that added together give a palindrome (65056).

The spelling of 48064576 in words is "forty-eight million, sixty-four thousand, five hundred seventy-six".