4608864 has 72 divisors (see below), whose sum is σ = 14126112. Its totient is φ = 1416960.

The previous prime is 4608859. The next prime is 4608881. The reversal of 4608864 is 4688064.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3129 + ... + 4359.

It is an arithmetic number, because the mean of its divisors is an integer number (196196).

Almost surely, 2^4608864 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 4608864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7063056).

4608864 is an abundant number, since it is smaller than the sum of its proper divisors (9517248).

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

4608864 is a wasteful number, since it uses less digits than its factorization.

4608864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4608864 is about 2146.8264950852. The cubic root of 4608864 is about 166.4171056133.

The spelling of 4608864 in words is "four million, six hundred eight thousand, eight hundred sixty-four".