6409680 has 80 divisors (see below), whose sum is σ = 21052224. Its totient is φ = 1607680.

The previous prime is 6409679. The next prime is 6409681. The reversal of 6409680 is 869046.

It is an interprime number because it is at equal distance from previous prime (6409679) and next prime (6409681).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6409681) by changing a digit.

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, 3295 + ... + 4865.

Almost surely, 2^6409680 is an apocalyptic number.

6409680 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 6409680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10526112).

6409680 is an abundant number, since it is smaller than the sum of its proper divisors (14642544).

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

6409680 is a wasteful number, since it uses less digits than its factorization.

6409680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 6409680 is about 2531.7345832453. The cubic root of 6409680 is about 185.7571115662.

The spelling of 6409680 in words is "six million, four hundred nine thousand, six hundred eighty".