47676384 has 96 divisors (see below), whose sum is σ = 158941440. Its totient is φ = 13620096.

The previous prime is 47676383. The next prime is 47676397. The reversal of 47676384 is 48367674.

47676384 is a `hidden beast` number, since 4 + 7 + 6 + 7 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47676383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2107 + ... + 9989.

It is an arithmetic number, because the mean of its divisors is an integer number (1655640).

Almost surely, 2^47676384 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 47676384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79470720).

47676384 is an abundant number, since it is smaller than the sum of its proper divisors (111265056).

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

47676384 is a wasteful number, since it uses less digits than its factorization.

47676384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7909 (or 7895 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 47676384 is about 6904.8087591185. The cubic root of 47676384 is about 362.6055410486.

The spelling of 47676384 in words is "forty-seven million, six hundred seventy-six thousand, three hundred eighty-four".