47688 has 16 divisors (see below), whose sum is σ = 119280. Its totient is φ = 15888.

The previous prime is 47681. The next prime is 47699. The reversal of 47688 is 88674.

It is not an unprimeable number, because it can be changed into a prime (47681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 970 + ... + 1017.

It is an arithmetic number, because the mean of its divisors is an integer number (7455).

2⁴⁷⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

47688 is an abundant number, since it is smaller than the sum of its proper divisors (71592).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59640).

47688 is a wasteful number, since it uses less digits than its factorization.

47688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1992 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 47688 is about 218.3758228376. The cubic root of 47688 is about 36.2634987381.

The spelling of 47688 in words is "forty-seven thousand, six hundred eighty-eight".