45560 has 32 divisors (see below), whose sum is σ = 110160. Its totient is φ = 16896.

The previous prime is 45557. The next prime is 45569. The reversal of 45560 is 6554.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 12.

It is a nialpdrome in base 15.

It is a congruent number.

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 in 7 ways as a sum of consecutive naturals, for example, 647 + ... + 713.

2⁴⁵⁵⁶⁰ is an apocalyptic number.

45560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55080).

45560 is an abundant number, since it is smaller than the sum of its proper divisors (64600).

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

45560 is a wasteful number, since it uses less digits than its factorization.

45560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 45560 is about 213.4478859113. The cubic root of 45560 is about 35.7158704059.

45560 divided by its sum of digits (20) gives a triangular number (2278 = T₆₇).

It can be divided in two parts, 455 and 60, that added together give a palindrome (515).

The spelling of 45560 in words is "forty-five thousand, five hundred sixty".