48064320 has 112 divisors (see below), whose sum is σ = 169590720. Its totient is φ = 12814848.

The previous prime is 48064309. The next prime is 48064333. The reversal of 48064320 is 2346084.

48064320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×48064320³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 5859 + ... + 11421.

Almost surely, 2^48064320 is an apocalyptic number.

48064320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84795360).

48064320 is an abundant number, since it is smaller than the sum of its proper divisors (121526400).

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

48064320 is a wasteful number, since it uses less digits than its factorization.

48064320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5589 (or 5573 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 48064320 is about 6932.8435724456. The cubic root of 48064320 is about 363.5863755528.

It can be divided in two parts, 48064 and 320, that added together give a palindrome (48384).

The spelling of 48064320 in words is "forty-eight million, sixty-four thousand, three hundred twenty".