6483960 has 192 divisors, whose sum is σ = 25159680. Its totient is φ = 1416960.

The previous prime is 6483949. The next prime is 6483973. The reversal of 6483960 is 693846.

6483960 is a `hidden beast` number, since 648 + 3 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78079 + ... + 78161.

It is an arithmetic number, because the mean of its divisors is an integer number (131040).

Almost surely, 2^6483960 is an apocalyptic number.

6483960 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 6483960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579840).

6483960 is an abundant number, since it is smaller than the sum of its proper divisors (18675720).

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

6483960 is a wasteful number, since it uses less digits than its factorization.

6483960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6483960 is about 2546.3621109339. The cubic root of 6483960 is about 186.4719199099.

The spelling of 6483960 in words is "six million, four hundred eighty-three thousand, nine hundred sixty".