4608576 has 140 divisors (see below), whose sum is σ = 15735808. Its totient is φ = 1306368.

The previous prime is 4608557. The next prime is 4608577. The reversal of 4608576 is 6758064.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4608576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4608577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36225 + ... + 36351.

Almost surely, 2^4608576 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 4608576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7867904).

4608576 is an abundant number, since it is smaller than the sum of its proper divisors (11127232).

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

4608576 is a wasteful number, since it uses less digits than its factorization.

4608576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4608576 is about 2146.7594182861. The cubic root of 4608576 is about 166.4136391680.

It can be divided in two parts, 4608 and 576, that added together give a square (5184 = 72²).

The spelling of 4608576 in words is "four million, six hundred eight thousand, five hundred seventy-six".