4090960 has 20 divisors (see below), whose sum is σ = 9511668. Its totient is φ = 1636352.

The previous prime is 4090937. The next prime is 4090967. The reversal of 4090960 is 690904.

4090960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2782224 + 1308736 = 1668^2 + 1144^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4090967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25489 + ... + 25648.

Almost surely, 2^4090960 is an apocalyptic number.

4090960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4090960 is an abundant number, since it is smaller than the sum of its proper divisors (5420708).

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

4090960 is a wasteful number, since it uses less digits than its factorization.

4090960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51150 (or 51144 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 4090960 is about 2022.6121724147. The cubic root of 4090960 is about 159.9343480651.

Adding to 4090960 its product of nonzero digits (1944), we get a palindrome (4092904).

It can be divided in two parts, 4090 and 960, that added together give a triangular number (5050 = T₁₀₀).

The spelling of 4090960 in words is "four million, ninety thousand, nine hundred sixty".