4864608 has 144 divisors (see below), whose sum is σ = 16773120. Its totient is φ = 1306368.

The previous prime is 4864603. The next prime is 4864619. The reversal of 4864608 is 8064684.

4864608 is a `hidden beast` number, since 4 + 8 + 646 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4864603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38241 + ... + 38367.

It is an arithmetic number, because the mean of its divisors is an integer number (116480).

Almost surely, 2^4864608 is an apocalyptic number.

4864608 is a gapful number since it is divisible by the number (48) 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 4864608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8386560).

4864608 is an abundant number, since it is smaller than the sum of its proper divisors (11908512).

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

4864608 is a wasteful number, since it uses less digits than its factorization.

4864608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 158 counting only the distinct ones).

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

The square root of 4864608 is about 2205.5856365147. The cubic root of 4864608 is about 169.4400027820.

The spelling of 4864608 in words is "four million, eight hundred sixty-four thousand, six hundred eight".