47664576 has 84 divisors (see below), whose sum is σ = 138406632. Its totient is φ = 15681024.

The previous prime is 47664569. The next prime is 47664581. The reversal of 47664576 is 67546674.

It is a happy number.

47664576 is a `hidden beast` number, since 4 + 76 + 6 + 4 + 576 = 666.

47664576 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 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 11 ways as a sum of consecutive naturals, for example, 47310 + ... + 48306.

It is an arithmetic number, because the mean of its divisors is an integer number (1647698).

Almost surely, 2^47664576 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 47664576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69203316).

47664576 is an abundant number, since it is smaller than the sum of its proper divisors (90742056).

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

47664576 is a wasteful number, since it uses less digits than its factorization.

47664576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1085 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 47664576 is about 6903.9536499024. The cubic root of 47664576 is about 362.5756030975.

The spelling of 47664576 in words is "forty-seven million, six hundred sixty-four thousand, five hundred seventy-six".