4643856 has 120 divisors (see below), whose sum is σ = 15784704. Its totient is φ = 1244160.

The previous prime is 4643843. The next prime is 4643867. The reversal of 4643856 is 6583464.

4643856 is a `hidden beast` number, since 4 + 643 + 8 + 5 + 6 = 666.

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 4643856.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17001 + ... + 17271.

Almost surely, 2^4643856 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 4643856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7892352).

4643856 is an abundant number, since it is smaller than the sum of its proper divisors (11140848).

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

4643856 is a wasteful number, since it uses less digits than its factorization.

4643856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 4643856 is about 2154.9607885064. The cubic root of 4643856 is about 166.8372085444.

The spelling of 4643856 in words is "four million, six hundred forty-three thousand, eight hundred fifty-six".