4164160 has 168 divisors, whose sum is σ = 13386816. Its totient is φ = 1198080.

The previous prime is 4164131. The next prime is 4164179. The reversal of 4164160 is 614614.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320314 + ... + 320326.

Almost surely, 2^4164160 is an apocalyptic number.

4164160 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 4164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6693408).

4164160 is an abundant number, since it is smaller than the sum of its proper divisors (9222656).

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

4164160 is a wasteful number, since it uses less digits than its factorization.

4164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 4164160 is about 2040.6273545163. The cubic root of 4164160 is about 160.8826221604.

Adding to 4164160 its reverse (614614), we get a palindrome (4778774).

The spelling of 4164160 in words is "four million, one hundred sixty-four thousand, one hundred sixty".