4067856 has 120 divisors (see below), whose sum is σ = 12796056. Its totient is φ = 1198080.

The previous prime is 4067837. The next prime is 4067857. The reversal of 4067856 is 6587604.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3600 + 4064256 = 60^2 + 2016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4067856.

It is not an unprimeable number, because it can be changed into a prime (4067857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76726 + ... + 76778.

Almost surely, 2^4067856 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 4067856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6398028).

4067856 is an abundant number, since it is smaller than the sum of its proper divisors (8728200).

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

4067856 is a wasteful number, since it uses less digits than its factorization.

4067856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4067856 is about 2016.8926595136. The cubic root of 4067856 is about 159.6326991248.

It can be divided in two parts, 40 and 67856, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 4067856 in words is "four million, sixty-seven thousand, eight hundred fifty-six".