49668 has 12 divisors (see below), whose sum is σ = 115920. Its totient is φ = 16552.

The previous prime is 49667. The next prime is 49669. The reversal of 49668 is 86694.

It is an interprime number because it is at equal distance from previous prime (49667) and next prime (49669).

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

It is not an unprimeable number, because it can be changed into a prime (49663) 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, 2058 + ... + 2081.

It is an arithmetic number, because the mean of its divisors is an integer number (9660).

2⁴⁹⁶⁶⁸ is an apocalyptic number.

It is an amenable number.

49668 is an abundant number, since it is smaller than the sum of its proper divisors (66252).

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 (57960).

49668 is a wasteful number, since it uses less digits than its factorization.

49668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4146 (or 4144 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 49668 is about 222.8631867312. The cubic root of 49668 is about 36.7585939455.

It can be divided in two parts, 49 and 668, that added together give a palindrome (717).

The spelling of 49668 in words is "forty-nine thousand, six hundred sixty-eight".