5083120 has 80 divisors (see below), whose sum is σ = 14016960. Its totient is φ = 1677312.

The previous prime is 5083087. The next prime is 5083121. The reversal of 5083120 is 213805.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5083121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16084 + ... + 16396.

It is an arithmetic number, because the mean of its divisors is an integer number (175212).

Almost surely, 2^5083120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5083120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7008480).

5083120 is an abundant number, since it is smaller than the sum of its proper divisors (8933840).

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

5083120 is a wasteful number, since it uses less digits than its factorization.

5083120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 5083120 is about 2254.5775657537. The cubic root of 5083120 is about 171.9399465850.

Adding to 5083120 its reverse (213805), we get a palindrome (5296925).

It can be divided in two parts, 5083 and 120, that multiplied together give a triangular number (609960 = T₁₁₀₄).

The spelling of 5083120 in words is "five million, eighty-three thousand, one hundred twenty".