4185216 has 128 divisors (see below), whose sum is σ = 14198400. Its totient is φ = 1188864.

The previous prime is 4185211. The next prime is 4185229. The reversal of 4185216 is 6125814.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 4185216.

It is not an unprimeable number, because it can be changed into a prime (4185211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24106 + ... + 24278.

It is an arithmetic number, because the mean of its divisors is an integer number (110925).

Almost surely, 2^4185216 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 4185216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7099200).

4185216 is an abundant number, since it is smaller than the sum of its proper divisors (10013184).

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

4185216 is a wasteful number, since it uses less digits than its factorization.

4185216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 185 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 4185216 is about 2045.7800468281. The cubic root of 4185216 is about 161.1533330834.

The spelling of 4185216 in words is "four million, one hundred eighty-five thousand, two hundred sixteen".