48359664 has 60 divisors (see below), whose sum is σ = 138657792. Its totient is φ = 15724800.

The previous prime is 48359627. The next prime is 48359669. The reversal of 48359664 is 46695384.

48359664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48359669) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1809 + ... + 9999.

Almost surely, 2^48359664 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 48359664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69328896).

48359664 is an abundant number, since it is smaller than the sum of its proper divisors (90298128).

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

48359664 is a wasteful number, since it uses less digits than its factorization.

48359664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8246 (or 8237 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 48359664 is about 6954.1113019566. Note that the first 3 decimals coincide. The cubic root of 48359664 is about 364.3295731013.

The spelling of 48359664 in words is "forty-eight million, three hundred fifty-nine thousand, six hundred sixty-four".