4164128 has 24 divisors (see below), whose sum is σ = 8422092. Its totient is φ = 2025216.

The previous prime is 4164107. The next prime is 4164131. The reversal of 4164128 is 8214614.

It can be written as a sum of positive squares in 2 ways, for example, as 3139984 + 1024144 = 1772^2 + 1012^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4164097 and 4164106.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 575 + ... + 2942.

Almost surely, 2^4164128 is an apocalyptic number.

It is an amenable number.

4164128 is an abundant number, since it is smaller than the sum of its proper divisors (4257964).

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

4164128 is a wasteful number, since it uses less digits than its factorization.

4164128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3556 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 4164128 is about 2040.6195137752. The cubic root of 4164128 is about 160.8822100519.

The spelling of 4164128 in words is "four million, one hundred sixty-four thousand, one hundred twenty-eight".