4416768 has 108 divisors (see below), whose sum is σ = 13392288. Its totient is φ = 1451520.

The previous prime is 4416757. The next prime is 4416773. The reversal of 4416768 is 8676144.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62173 + ... + 62243.

Almost surely, 2^4416768 is an apocalyptic number.

4416768 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 4416768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696144).

4416768 is an abundant number, since it is smaller than the sum of its proper divisors (8975520).

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

4416768 is an frugal number, since it uses more digits than its factorization.

4416768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 4416768 is about 2101.6108107830. The cubic root of 4416768 is about 164.0721475143.

It can be divided in two parts, 4416 and 768, that added together give a square (5184 = 72²).

The spelling of 4416768 in words is "four million, four hundred sixteen thousand, seven hundred sixty-eight".