4585648 has 40 divisors (see below), whose sum is σ = 9829728. Its totient is φ = 2061312.

The previous prime is 4585621. The next prime is 4585687. The reversal of 4585648 is 8465854.

It is a d-powerful number, because it can be written as 4² + 5⁴ + 8 + 5⁸ + 6 + 4¹¹ + 8² .

It is a self number, because there is not a number n which added to its sum of digits gives 4585648.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5890 + ... + 6622.

Almost surely, 2^4585648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4585648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914864).

4585648 is an abundant number, since it is smaller than the sum of its proper divisors (5244080).

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

4585648 is a wasteful number, since it uses less digits than its factorization.

4585648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 775 counting only the distinct ones).

The product of its digits is 153600, while the sum is 40.

The square root of 4585648 is about 2141.4126178763. The cubic root of 4585648 is about 166.1372069265.

The spelling of 4585648 in words is "four million, five hundred eighty-five thousand, six hundred forty-eight".