4168960 has 36 divisors (see below), whose sum is σ = 9989028. Its totient is φ = 1667072.

The previous prime is 4168951. The next prime is 4168981. The reversal of 4168960 is 698614.

4168960 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 2611456 + 1557504 = 1616^2 + 1248^2 .

It is a congruent number.

It is an unprimeable number.

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, 349 + ... + 2908.

It is an arithmetic number, because the mean of its divisors is an integer number (277473).

Almost surely, 2^4168960 is an apocalyptic number.

4168960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4168960 is an abundant number, since it is smaller than the sum of its proper divisors (5820068).

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

4168960 is an equidigital number, since it uses as much as digits as its factorization.

4168960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 4168960 is about 2041.8031246915. The cubic root of 4168960 is about 160.9444145394.

The spelling of 4168960 in words is "four million, one hundred sixty-eight thousand, nine hundred sixty".