45568 has 20 divisors (see below), whose sum is σ = 92070. Its totient is φ = 22528.

The previous prime is 45557. The next prime is 45569. The reversal of 45568 is 86554.

45568 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 43264 + 2304 = 208^2 + 48^2 .

It is a plaindrome in base 10.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (45569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 468 + ... + 556.

2⁴⁵⁵⁶⁸ 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 45568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46035).

45568 is an abundant number, since it is smaller than the sum of its proper divisors (46502).

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

45568 is an frugal number, since it uses more digits than its factorization.

45568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 91 counting only the distinct ones).

The product of its digits is 4800, while the sum is 28.

The square root of 45568 is about 213.4666250260. The cubic root of 45568 is about 35.7179607647.

The spelling of 45568 in words is "forty-five thousand, five hundred sixty-eight".