45583560 has 160 divisors (see below), whose sum is σ = 167270400. Its totient is φ = 11041920.

The previous prime is 45583543. The next prime is 45583589. The reversal of 45583560 is 6538554.

45583560 is a `hidden beast` number, since 45 + 58 + 3 + 560 = 666.

45583560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 35001 + ... + 36279.

It is an arithmetic number, because the mean of its divisors is an integer number (1045440).

Almost surely, 2^45583560 is an apocalyptic number.

45583560 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 45583560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83635200).

45583560 is an abundant number, since it is smaller than the sum of its proper divisors (121686840).

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

45583560 is a wasteful number, since it uses less digits than its factorization.

45583560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 45583560 is about 6751.5598197750. The cubic root of 45583560 is about 357.2202581195.

It can be divided in two parts, 4558 and 3560, that added together give a palindrome (8118).

The spelling of 45583560 in words is "forty-five million, five hundred eighty-three thousand, five hundred sixty".