4605120 has 224 divisors, whose sum is σ = 17922240. Its totient is φ = 1105920.

The previous prime is 4605101. The next prime is 4605121. The reversal of 4605120 is 215064.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4605093 and 4605102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4605121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112300 + ... + 112340.

It is an arithmetic number, because the mean of its divisors is an integer number (80010).

Almost surely, 2^4605120 is an apocalyptic number.

4605120 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 4605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8961120).

4605120 is an abundant number, since it is smaller than the sum of its proper divisors (13317120).

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

4605120 is a wasteful number, since it uses less digits than its factorization.

4605120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4605120 is about 2145.9543331581. The cubic root of 4605120 is about 166.3720305554.

The spelling of 4605120 in words is "four million, six hundred five thousand, one hundred twenty".