4077216 has 180 divisors, whose sum is σ = 14194026. Its totient is φ = 1140480.

The previous prime is 4077211. The next prime is 4077221. The reversal of 4077216 is 6127704.

4077216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4077211) and next prime (4077221).

It can be written as a sum of positive squares in only one way, i.e., 3920400 + 156816 = 1980^2 + 396^2 .

It is a super-3 number, since 3×4077216³ (a number of 21 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4077216.

It is not an unprimeable number, because it can be changed into a prime (4077211) 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 29 ways as a sum of consecutive naturals, for example, 313626 + ... + 313638.

Almost surely, 2^4077216 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 4077216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7097013).

4077216 is an abundant number, since it is smaller than the sum of its proper divisors (10116810).

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

4077216 is a wasteful number, since it uses less digits than its factorization.

4077216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 4077216 is about 2019.2117273827. The cubic root of 4077216 is about 159.7550418299.

The spelling of 4077216 in words is "four million, seventy-seven thousand, two hundred sixteen".