4112768 has 64 divisors (see below), whose sum is σ = 9400320. Its totient is φ = 1774080.

The previous prime is 4112761. The next prime is 4112777. The reversal of 4112768 is 8672114.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 4112768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4112761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32321 + ... + 32447.

It is an arithmetic number, because the mean of its divisors is an integer number (146880).

Almost surely, 2^4112768 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 4112768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700160).

4112768 is an abundant number, since it is smaller than the sum of its proper divisors (5287552).

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

4112768 is a wasteful number, since it uses less digits than its factorization.

4112768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

The product of its digits is 2688, while the sum is 29.

The square root of 4112768 is about 2027.9960552230. The cubic root of 4112768 is about 160.2180360751.

The spelling of 4112768 in words is "four million, one hundred twelve thousand, seven hundred sixty-eight".