45556560 has 320 divisors, whose sum is σ = 188559360. Its totient is φ = 9884160.

The previous prime is 45556541. The next prime is 45556561. The reversal of 45556560 is 6565554.

It is a happy number.

45556560 is a `hidden beast` number, since 45 + 5 + 56 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45556561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 347695 + ... + 347825.

It is an arithmetic number, because the mean of its divisors is an integer number (589248).

Almost surely, 2^45556560 is an apocalyptic number.

45556560 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 45556560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94279680).

45556560 is an abundant number, since it is smaller than the sum of its proper divisors (143002800).

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

45556560 is a wasteful number, since it uses less digits than its factorization.

45556560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 45556560 is about 6749.5599856583. The cubic root of 45556560 is about 357.1497147636.

It can be divided in two parts, 455565 and 60, that added together give a square (455625 = 675²).

The spelling of 45556560 in words is "forty-five million, five hundred fifty-six thousand, five hundred sixty".