4516560 has 200 divisors, whose sum is σ = 17014536. Its totient is φ = 1105920.

The previous prime is 4516541. The next prime is 4516571. The reversal of 4516560 is 656154.

It is a happy number.

4516560 is a `hidden beast` number, since 4 + 5 + 1 + 656 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 156816 + 4359744 = 396^2 + 2088^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110140 + ... + 110180.

Almost surely, 2^4516560 is an apocalyptic number.

4516560 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 4516560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8507268).

4516560 is an abundant number, since it is smaller than the sum of its proper divisors (12497976).

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

4516560 is a wasteful number, since it uses less digits than its factorization.

4516560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 4516560 is about 2125.2199886129. The cubic root of 4516560 is about 165.2986327336.

The spelling of 4516560 in words is "four million, five hundred sixteen thousand, five hundred sixty".