47568 has 20 divisors (see below), whose sum is σ = 123008. Its totient is φ = 15840.

The previous prime is 47563. The next prime is 47569. The reversal of 47568 is 86574.

It is a happy number.

47568 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 448 + ... + 543.

2⁴⁷⁵⁶⁸ is an apocalyptic number.

47568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

47568 is an abundant number, since it is smaller than the sum of its proper divisors (75440).

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 (61504).

47568 is a wasteful number, since it uses less digits than its factorization.

47568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 996 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 47568 is about 218.1008940834. The cubic root of 47568 is about 36.2330558941.

The spelling of 47568 in words is "forty-seven thousand, five hundred sixty-eight".