4638144 has 168 divisors, whose sum is σ = 15636240. Its totient is φ = 1204224.

The previous prime is 4638143. The next prime is 4638149. The reversal of 4638144 is 4418364.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4638143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159922 + ... + 159950.

Almost surely, 2^4638144 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 4638144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7818120).

4638144 is an abundant number, since it is smaller than the sum of its proper divisors (10998096).

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

4638144 is a wasteful number, since it uses less digits than its factorization.

4638144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 58 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 4638144 is about 2153.6350665793. The cubic root of 4638144 is about 166.7687765398.

The spelling of 4638144 in words is "four million, six hundred thirty-eight thousand, one hundred forty-four".