6468840 has 192 divisors, whose sum is σ = 25608960. Its totient is φ = 1382400.

The previous prime is 6468829. The next prime is 6468851. The reversal of 6468840 is 488646.

6468840 is a `hidden beast` number, since 646 + 8 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6468829) and next prime (6468851).

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

It is a junction number, because it is equal to n+sod(n) for n = 6468795 and 6468804.

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 47 ways as a sum of consecutive naturals, for example, 42765 + ... + 42915.

It is an arithmetic number, because the mean of its divisors is an integer number (133380).

Almost surely, 2^6468840 is an apocalyptic number.

6468840 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 6468840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12804480).

6468840 is an abundant number, since it is smaller than the sum of its proper divisors (19140120).

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

6468840 is a wasteful number, since it uses less digits than its factorization.

6468840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6468840 is about 2543.3914366452. The cubic root of 6468840 is about 186.3268619596.

The spelling of 6468840 in words is "six million, four hundred sixty-eight thousand, eight hundred forty".