47968 has 12 divisors (see below), whose sum is σ = 94500. Its totient is φ = 23968.

The previous prime is 47963. The next prime is 47969. The reversal of 47968 is 86974.

47968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 4³ + 7 + 9³ + 6⁶ + 8³ .

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 718 + ... + 781.

It is an arithmetic number, because the mean of its divisors is an integer number (7875).

2⁴⁷⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

47968 is a deficient number, since it is larger than the sum of its proper divisors (46532).

47968 is a wasteful number, since it uses less digits than its factorization.

47968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1501 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 47968 is about 219.0159811521. The cubic root of 47968 is about 36.3343339698.

The spelling of 47968 in words is "forty-seven thousand, nine hundred sixty-eight".