4641168 has 80 divisors (see below), whose sum is σ = 14443520. Its totient is φ = 1254528.

The previous prime is 4641151. The next prime is 4641179. The reversal of 4641168 is 8611464.

4641168 is nontrivially palindromic in base 13.

4641168 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6021 + ... + 6747.

It is an arithmetic number, because the mean of its divisors is an integer number (180544).

Almost surely, 2^4641168 is an apocalyptic number.

4641168 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 4641168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7221760).

4641168 is an abundant number, since it is smaller than the sum of its proper divisors (9802352).

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

4641168 is a wasteful number, since it uses less digits than its factorization.

4641168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 758 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 4641168 is about 2154.3370209881. The cubic root of 4641168 is about 166.8050122423.

It can be divided in two parts, 46 and 41168, that added together give a palindrome (41214).

The spelling of 4641168 in words is "four million, six hundred forty-one thousand, one hundred sixty-eight".