4618120 has 64 divisors (see below), whose sum is σ = 11430720. Its totient is φ = 1668864.

The previous prime is 4618093. The next prime is 4618129. The reversal of 4618120 is 218164.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 4618091 and 4618100.

It is not an unprimeable number, because it can be changed into a prime (4618129) by changing a digit.

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, 43107 + ... + 43213.

It is an arithmetic number, because the mean of its divisors is an integer number (178605).

Almost surely, 2^4618120 is an apocalyptic number.

4618120 is a gapful number since it is divisible by the number (40) 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 4618120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715360).

4618120 is an abundant number, since it is smaller than the sum of its proper divisors (6812600).

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

4618120 is a wasteful number, since it uses less digits than its factorization.

4618120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 4618120 is about 2148.9811539425. The cubic root of 4618120 is about 166.5284364973.

The spelling of 4618120 in words is "four million, six hundred eighteen thousand, one hundred twenty".