4616768 has 56 divisors (see below), whose sum is σ = 10241280. Its totient is φ = 2050560.

The previous prime is 4616761. The next prime is 4616779. The reversal of 4616768 is 8676164.

4616768 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 4⁷ + 6² + 1 + 6² + 7⁷ + 6⁸ + 8⁷ .

It is not an unprimeable number, because it can be changed into a prime (4616761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25703 + ... + 25881.

It is an arithmetic number, because the mean of its divisors is an integer number (182880).

Almost surely, 2^4616768 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 4616768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120640).

4616768 is an abundant number, since it is smaller than the sum of its proper divisors (5624512).

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

4616768 is a wasteful number, since it uses less digits than its factorization.

4616768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 4616768 is about 2148.6665632434. Note that the first 3 decimals coincide. The cubic root of 4616768 is about 166.5121839659.

The spelling of 4616768 in words is "four million, six hundred sixteen thousand, seven hundred sixty-eight".