45536560 has 40 divisors (see below), whose sum is σ = 107377056. Its totient is φ = 17955840.

The previous prime is 45536537. The next prime is 45536563. The reversal of 45536560 is 6563554.

45536560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (45536563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1672 + ... + 9688.

Almost surely, 2^45536560 is an apocalyptic number.

45536560 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 45536560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53688528).

45536560 is an abundant number, since it is smaller than the sum of its proper divisors (61840496).

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

45536560 is a wasteful number, since it uses less digits than its factorization.

45536560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8101 (or 8095 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 34.

The square root of 45536560 is about 6748.0782449524. The cubic root of 45536560 is about 357.0974424538.

The spelling of 45536560 in words is "forty-five million, five hundred thirty-six thousand, five hundred sixty".