4668160 has 72 divisors (see below), whose sum is σ = 12803616. Its totient is φ = 1597440.

The previous prime is 4668133. The next prime is 4668163. The reversal of 4668160 is 618664.

4668160 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4668163) 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, 8700 + ... + 9220.

It is an arithmetic number, because the mean of its divisors is an integer number (177828).

Almost surely, 2^4668160 is an apocalyptic number.

4668160 is a gapful number since it is divisible by the number (40) 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 4668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6401808).

4668160 is an abundant number, since it is smaller than the sum of its proper divisors (8135456).

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

4668160 is an equidigital number, since it uses as much as digits as its factorization.

4668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 4668160 is about 2160.5925113265. The cubic root of 4668160 is about 167.1277543238.

The spelling of 4668160 in words is "four million, six hundred sixty-eight thousand, one hundred sixty".