4128168 has 64 divisors (see below), whose sum is σ = 11865600. Its totient is φ = 1183680.

The previous prime is 4128139. The next prime is 4128181. The reversal of 4128168 is 8618214.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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, 4605 + ... + 5427.

It is an arithmetic number, because the mean of its divisors is an integer number (185400).

Almost surely, 2^4128168 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 4128168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5932800).

4128168 is an abundant number, since it is smaller than the sum of its proper divisors (7737432).

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

4128168 is a wasteful number, since it uses less digits than its factorization.

4128168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 858 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 4128168 is about 2031.7893591610. The cubic root of 4128168 is about 160.4177624332.

The spelling of 4128168 in words is "four million, one hundred twenty-eight thousand, one hundred sixty-eight".