4112864 has 72 divisors (see below), whose sum is σ = 9796248. Its totient is φ = 1693440.

The previous prime is 4112851. The next prime is 4112881. The reversal of 4112864 is 4682114.

4112864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (1536) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 67394 + ... + 67454.

It is an arithmetic number, because the mean of its divisors is an integer number (136059).

Almost surely, 2^4112864 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 4112864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898124).

4112864 is an abundant number, since it is smaller than the sum of its proper divisors (5683384).

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

4112864 is a wasteful number, since it uses less digits than its factorization.

4112864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 4112864 is about 2028.0197237700. The cubic root of 4112864 is about 160.2192826655.

Adding to 4112864 its reverse (4682114), we get a palindrome (8794978).

The spelling of 4112864 in words is "four million, one hundred twelve thousand, eight hundred sixty-four".