4146168 has 64 divisors (see below), whose sum is σ = 11360160. Its totient is φ = 1253376.

The previous prime is 4146139. The next prime is 4146173. The reversal of 4146168 is 8616414.

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

Its product of digits (4608) is a multiple of the sum of its prime factors (256).

It is a congruent number.

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, 30196 + ... + 30332.

Almost surely, 2^4146168 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 4146168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5680080).

4146168 is an abundant number, since it is smaller than the sum of its proper divisors (7213992).

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

4146168 is a wasteful number, since it uses less digits than its factorization.

4146168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 252 counting only the distinct ones).

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

The square root of 4146168 is about 2036.2141341224. The cubic root of 4146168 is about 160.6505802397.

It can be divided in two parts, 414 and 6168, that multiplied together give a palindrome (2553552).

The spelling of 4146168 in words is "four million, one hundred forty-six thousand, one hundred sixty-eight".