4638168 has 64 divisors (see below), whose sum is σ = 13068000. Its totient is φ = 1524096.

The previous prime is 4638149. The next prime is 4638181. The reversal of 4638168 is 8618364.

It is a happy number.

4638168 is a `hidden beast` number, since 4 + 638 + 16 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 23446 + ... + 23642.

Almost surely, 2^4638168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4638168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6534000).

4638168 is an abundant number, since it is smaller than the sum of its proper divisors (8429832).

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

4638168 is a wasteful number, since it uses less digits than its factorization.

4638168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 311 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4638168 is about 2153.6406385467. The cubic root of 4638168 is about 166.7690641867.

The spelling of 4638168 in words is "four million, six hundred thirty-eight thousand, one hundred sixty-eight".