4090768 has 30 divisors (see below), whose sum is σ = 8716022. Its totient is φ = 1858560.

The previous prime is 4090763. The next prime is 4090777. The reversal of 4090768 is 8670904.

It can be written as a sum of positive squares in only one way, i.e., 2108304 + 1982464 = 1452^2 + 1408^2 .

It is a super-3 number, since 3×4090768³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4090763) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 880 + ... + 2992.

Almost surely, 2^4090768 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 4090768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358011).

4090768 is an abundant number, since it is smaller than the sum of its proper divisors (4625254).

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

4090768 is a wasteful number, since it uses less digits than its factorization.

4090768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2126 counting only the distinct ones).

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

The square root of 4090768 is about 2022.5647084828. The cubic root of 4090768 is about 159.9318459731.

The spelling of 4090768 in words is "four million, ninety thousand, seven hundred sixty-eight".