4836144 has 40 divisors (see below), whose sum is σ = 12735792. Its totient is φ = 1580800.

The previous prime is 4836133. The next prime is 4836149. The reversal of 4836144 is 4416384.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (4836149) 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, 1594 + ... + 3494.

Almost surely, 2^4836144 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 4836144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6367896).

4836144 is an abundant number, since it is smaller than the sum of its proper divisors (7899648).

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

4836144 is a wasteful number, since it uses less digits than its factorization.

4836144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1959 counting only the distinct ones).

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

The square root of 4836144 is about 2199.1234617456. The cubic root of 4836144 is about 169.1088779399.

The spelling of 4836144 in words is "four million, eight hundred thirty-six thousand, one hundred forty-four".