4533120 has 96 divisors (see below), whose sum is σ = 15673320. Its totient is φ = 1207296.

The previous prime is 4533107. The next prime is 4533121. The reversal of 4533120 is 213354.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 4533093 and 4533102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4533121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5367 + ... + 6153.

Almost surely, 2^4533120 is an apocalyptic number.

4533120 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 4533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7836660).

4533120 is an abundant number, since it is smaller than the sum of its proper divisors (11140200).

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

4533120 is a wasteful number, since it uses less digits than its factorization.

4533120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 4533120 is about 2129.1124911568. The cubic root of 4533120 is about 165.5004092079.

Adding to 4533120 its reverse (213354), we get a palindrome (4746474).

The spelling of 4533120 in words is "four million, five hundred thirty-three thousand, one hundred twenty".