45768 has 16 divisors (see below), whose sum is σ = 114480. Its totient is φ = 15248.

The previous prime is 45767. The next prime is 45779. The reversal of 45768 is 86754.

It is a happy number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (45763) 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 3 ways as a sum of consecutive naturals, for example, 930 + ... + 977.

It is an arithmetic number, because the mean of its divisors is an integer number (7155).

2⁴⁵⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

45768 is an abundant number, since it is smaller than the sum of its proper divisors (68712).

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 (57240).

45768 is a wasteful number, since it uses less digits than its factorization.

45768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1912 counting only the distinct ones).

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

The square root of 45768 is about 213.9345694365. The cubic root of 45768 is about 35.7701404111.

It can be divided in two parts, 457 and 68, that added together give a palindrome (525).

The spelling of 45768 in words is "forty-five thousand, seven hundred sixty-eight".