4635168 has 48 divisors (see below), whose sum is σ = 12410496. Its totient is φ = 1514240.

The previous prime is 4635161. The next prime is 4635181. The reversal of 4635168 is 8615364.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (4635161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4633 + ... + 5543.

It is an arithmetic number, because the mean of its divisors is an integer number (258552).

Almost surely, 2^4635168 is an apocalyptic number.

4635168 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 4635168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205248).

4635168 is an abundant number, since it is smaller than the sum of its proper divisors (7775328).

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

4635168 is a wasteful number, since it uses less digits than its factorization.

4635168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 969 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 4635168 is about 2152.9440308564. The cubic root of 4635168 is about 166.7331006268.

The spelling of 4635168 in words is "four million, six hundred thirty-five thousand, one hundred sixty-eight".