4365216 has 72 divisors (see below), whose sum is σ = 12972960. Its totient is φ = 1389696.

The previous prime is 4365211. The next prime is 4365247. The reversal of 4365216 is 6125634.

4365216 is a `hidden beast` number, since 4 + 3 + 652 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×4365216² = 38110221453312, which contains 22 as substring.

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 4365216.

It is not an unprimeable number, because it can be changed into a prime (4365211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6295 + ... + 6953.

It is an arithmetic number, because the mean of its divisors is an integer number (180180).

Almost surely, 2^4365216 is an apocalyptic number.

4365216 is a gapful number since it is divisible by the number (46) 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 4365216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6486480).

4365216 is an abundant number, since it is smaller than the sum of its proper divisors (8607744).

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

4365216 is a wasteful number, since it uses less digits than its factorization.

4365216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 687 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 4365216 is about 2089.3099339256. The cubic root of 4365216 is about 163.4313040814.

The spelling of 4365216 in words is "four million, three hundred sixty-five thousand, two hundred sixteen".