4168320 has 128 divisors (see below), whose sum is σ = 14394240. Its totient is φ = 1019904.

The previous prime is 4168319. The next prime is 4168327. The reversal of 4168320 is 238614.

It is a happy number.

4168320 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4168327) 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 15 ways as a sum of consecutive naturals, for example, 24877 + ... + 25043.

It is an arithmetic number, because the mean of its divisors is an integer number (112455).

Almost surely, 2^4168320 is an apocalyptic number.

4168320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7197120).

4168320 is an abundant number, since it is smaller than the sum of its proper divisors (10225920).

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

4168320 is a wasteful number, since it uses less digits than its factorization.

4168320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4168320 is about 2041.6463944572. The cubic root of 4168320 is about 160.9361782969.

The spelling of 4168320 in words is "four million, one hundred sixty-eight thousand, three hundred twenty".