46668 has 12 divisors (see below), whose sum is σ = 108920. Its totient is φ = 15552.

The previous prime is 46663. The next prime is 46679. The reversal of 46668 is 86664.

It is a happy number.

46668 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 tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 10.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (46663) 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, 1933 + ... + 1956.

46668 is a Friedman number, since it can be written as 6^6+(8*6)/4, using all its digits and the basic arithmetic operations.

2⁴⁶⁶⁶⁸ is an apocalyptic number.

It is an amenable number.

46668 is an abundant number, since it is smaller than the sum of its proper divisors (62252).

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 (54460).

46668 is a wasteful number, since it uses less digits than its factorization.

46668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3896 (or 3894 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 46668 is about 216.0277759919. The cubic root of 46668 is about 36.0030861552.

The spelling of 46668 in words is "forty-six thousand, six hundred sixty-eight".