45668 has 18 divisors (see below), whose sum is σ = 93366. Its totient is φ = 19488.

The previous prime is 45667. The next prime is 45673. The reversal of 45668 is 86654.

It can be written as a sum of positive squares in only one way, i.e., 33124 + 12544 = 182^2 + 112^2 .

It is a plaindrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 45668.

It is not an unprimeable number, because it can be changed into a prime (45667) 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 5 ways as a sum of consecutive naturals, for example, 80 + ... + 312.

It is an arithmetic number, because the mean of its divisors is an integer number (5187).

2⁴⁵⁶⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46683).

45668 is an abundant number, since it is smaller than the sum of its proper divisors (47698).

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

45668 is a wasteful number, since it uses less digits than its factorization.

45668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 242 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 45668 is about 213.7007253146. The cubic root of 45668 is about 35.7440696310.

The spelling of 45668 in words is "forty-five thousand, six hundred sixty-eight".