4116816 has 120 divisors (see below), whose sum is σ = 13231296. Its totient is φ = 1182720.

The previous prime is 4116781. The next prime is 4116817. The reversal of 4116816 is 6186114.

4116816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4116816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4116817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36376 + ... + 36488.

Almost surely, 2^4116816 is an apocalyptic number.

4116816 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 4116816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6615648).

4116816 is an abundant number, since it is smaller than the sum of its proper divisors (9114480).

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

4116816 is a wasteful number, since it uses less digits than its factorization.

4116816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 152 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 4116816 is about 2028.9938393204. The cubic root of 4116816 is about 160.2705838112.

It can be divided in two parts, 411 and 6816, that added together give a palindrome (7227).

The spelling of 4116816 in words is "four million, one hundred sixteen thousand, eight hundred sixteen".