6483840 has 128 divisors (see below), whose sum is σ = 22619520. Its totient is φ = 1566720.

The previous prime is 6483839. The next prime is 6483857. The reversal of 6483840 is 483846.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6483840² = 84080362291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 20967 + ... + 21273.

It is an arithmetic number, because the mean of its divisors is an integer number (176715).

Almost surely, 2^6483840 is an apocalyptic number.

6483840 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 6483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11309760).

6483840 is an abundant number, since it is smaller than the sum of its proper divisors (16135680).

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

6483840 is a wasteful number, since it uses less digits than its factorization.

6483840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 6483840 is about 2546.3385477976. The cubic root of 6483840 is about 186.4707695446.

The spelling of 6483840 in words is "six million, four hundred eighty-three thousand, eight hundred forty".