4009768 has 48 divisors (see below), whose sum is σ = 8956980. Its totient is φ = 1677312.

The previous prime is 4009729. The next prime is 4009769. The reversal of 4009768 is 8679004.

It can be written as a sum of positive squares in 2 ways, for example, as 4008004 + 1764 = 2002^2 + 42^2 .

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (4009769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20680 + ... + 20872.

Almost surely, 2^4009768 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 4009768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478490).

4009768 is an abundant number, since it is smaller than the sum of its proper divisors (4947212).

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

4009768 is a wasteful number, since it uses less digits than its factorization.

4009768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 4009768 is about 2002.4405109765. The cubic root of 4009768 is about 158.8692146044.

The spelling of 4009768 in words is "four million, nine thousand, seven hundred sixty-eight".