4638084 has 48 divisors (see below), whose sum is σ = 12108096. Its totient is φ = 1369600.

The previous prime is 4638077. The next prime is 4638089. The reversal of 4638084 is 4808364.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4638089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4984 + ... + 5840.

It is an arithmetic number, because the mean of its divisors is an integer number (252252).

Almost surely, 2^4638084 is an apocalyptic number.

4638084 is a gapful number since it is divisible by the number (44) 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 4638084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6054048).

4638084 is an abundant number, since it is smaller than the sum of its proper divisors (7470012).

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

4638084 is a wasteful number, since it uses less digits than its factorization.

4638084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 4638084 is about 2153.6211365976. The cubic root of 4638084 is about 166.7680574181.

It can be divided in two parts, 46380 and 84, that added together give a palindrome (46464).

The spelling of 4638084 in words is "four million, six hundred thirty-eight thousand, eighty-four".