6483120 has 160 divisors (see below), whose sum is σ = 24427008. Its totient is φ = 1388544.

The previous prime is 6483109. The next prime is 6483131. The reversal of 6483120 is 213846.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6483109) and next prime (6483131).

It is a super-3 number, since 3×6483120³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28447 + ... + 28673.

Almost surely, 2^6483120 is an apocalyptic number.

6483120 is a gapful number since it is divisible by the number (60) 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 6483120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12213504).

6483120 is an abundant number, since it is smaller than the sum of its proper divisors (17943888).

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

6483120 is a wasteful number, since it uses less digits than its factorization.

6483120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 6483120 is about 2546.1971644003. The cubic root of 6483120 is about 186.4638670545.

Adding to 6483120 its reverse (213846), we get a palindrome (6696966).

The spelling of 6483120 in words is "six million, four hundred eighty-three thousand, one hundred twenty".