4585120 has 24 divisors (see below), whose sum is σ = 10832724. Its totient is φ = 1833984.

The previous prime is 4585069. The next prime is 4585123. The reversal of 4585120 is 215854.

4585120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4343056 + 242064 = 2084^2 + 492^2 .

It is not an unprimeable number, because it can be changed into a prime (4585123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14169 + ... + 14488.

Almost surely, 2^4585120 is an apocalyptic number.

4585120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4585120 is an abundant number, since it is smaller than the sum of its proper divisors (6247604).

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

4585120 is a wasteful number, since it uses less digits than its factorization.

4585120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28672 (or 28664 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 4585120 is about 2141.2893312208. The cubic root of 4585120 is about 166.1308302332.

The spelling of 4585120 in words is "four million, five hundred eighty-five thousand, one hundred twenty".