4983120 has 100 divisors (see below), whose sum is σ = 17329620. Its totient is φ = 1327104.

The previous prime is 4983107. The next prime is 4983127. The reversal of 4983120 is 213894.

It can be written as a sum of positive squares in 2 ways, for example, as 1871424 + 3111696 = 1368^2 + 1764^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4983127) 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 19 ways as a sum of consecutive naturals, for example, 6096 + ... + 6864.

Almost surely, 2^4983120 is an apocalyptic number.

4983120 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 4983120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8664810).

4983120 is an abundant number, since it is smaller than the sum of its proper divisors (12346500).

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

4983120 is a wasteful number, since it uses less digits than its factorization.

4983120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4983120 is about 2232.2903037016. The cubic root of 4983120 is about 170.8049484203.

The spelling of 4983120 in words is "four million, nine hundred eighty-three thousand, one hundred twenty".