4809168 has 120 divisors (see below), whose sum is σ = 16610048. Its totient is φ = 1264896.

The previous prime is 4809143. The next prime is 4809187. The reversal of 4809168 is 8619084.

It is a happy number.

It is a super-3 number, since 3×4809168³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12921 + ... + 13287.

Almost surely, 2^4809168 is an apocalyptic number.

4809168 is a gapful number since it is divisible by the number (48) 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 4809168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8305024).

4809168 is an abundant number, since it is smaller than the sum of its proper divisors (11800880).

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

4809168 is a wasteful number, since it uses less digits than its factorization.

4809168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 4809168 is about 2192.9815320700. The cubic root of 4809168 is about 168.7938618494.

The spelling of 4809168 in words is "four million, eight hundred nine thousand, one hundred sixty-eight".