6467840 has 72 divisors (see below), whose sum is σ = 16090368. Its totient is φ = 2488320.

The previous prime is 6467827. The next prime is 6467849. The reversal of 6467840 is 487646.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6467840.

It is not an unprimeable number, because it can be changed into a prime (6467849) 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 7 ways as a sum of consecutive naturals, for example, 39599 + ... + 39761.

Almost surely, 2^6467840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8045184).

6467840 is an abundant number, since it is smaller than the sum of its proper divisors (9622528).

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

6467840 is a wasteful number, since it uses less digits than its factorization.

6467840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 6467840 is about 2543.1948411398. The cubic root of 6467840 is about 186.3172602142.

The spelling of 6467840 in words is "six million, four hundred sixty-seven thousand, eight hundred forty".