4443768 has 64 divisors (see below), whose sum is σ = 14112000. Its totient is φ = 1269216.

The previous prime is 4443767. The next prime is 4443781. The reversal of 4443768 is 8673444.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 4⁸ + 4⁸ + 4¹¹ + 3⁶ + 7⁶ + 6 + 8 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4443767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43 + ... + 2981.

It is an arithmetic number, because the mean of its divisors is an integer number (220500).

Almost surely, 2^4443768 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 4443768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7056000).

4443768 is an abundant number, since it is smaller than the sum of its proper divisors (9668232).

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

4443768 is a wasteful number, since it uses less digits than its factorization.

4443768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961 (or 2951 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 4443768 is about 2108.0246677874. The cubic root of 4443768 is about 164.4057965882.

The spelling of 4443768 in words is "four million, four hundred forty-three thousand, seven hundred sixty-eight".