4116768 has 96 divisors (see below), whose sum is σ = 11874240. Its totient is φ = 1244160.

The previous prime is 4116757. The next prime is 4116779. The reversal of 4116768 is 8676114.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4116757) and next prime (4116779).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67458 + ... + 67518.

It is an arithmetic number, because the mean of its divisors is an integer number (123690).

Almost surely, 2^4116768 is an apocalyptic number.

4116768 is a gapful number since it is divisible by the number (48) 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 4116768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5937120).

4116768 is an abundant number, since it is smaller than the sum of its proper divisors (7757472).

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

4116768 is a wasteful number, since it uses less digits than its factorization.

4116768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 122 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 4116768 is about 2028.9820107630. The cubic root of 4116768 is about 160.2699609174.

It can be divided in two parts, 4116 and 768, that added together give a palindrome (4884).

The spelling of 4116768 in words is "four million, one hundred sixteen thousand, seven hundred sixty-eight".