4535120 has 40 divisors (see below), whose sum is σ = 10686816. Its totient is φ = 1789568.

The previous prime is 4535099. The next prime is 4535123. The reversal of 4535120 is 215354.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4535092 and 4535101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4535123) 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, 6299 + ... + 6981.

Almost surely, 2^4535120 is an apocalyptic number.

4535120 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 4535120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343408).

4535120 is an abundant number, since it is smaller than the sum of its proper divisors (6151696).

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

4535120 is a wasteful number, since it uses less digits than its factorization.

4535120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 4535120 is about 2129.5821186327. The cubic root of 4535120 is about 165.5247450701.

The spelling of 4535120 in words is "four million, five hundred thirty-five thousand, one hundred twenty".