6406680 has 128 divisors (see below), whose sum is σ = 22809600. Its totient is φ = 1408512.

The previous prime is 6406679. The next prime is 6406681. The reversal of 6406680 is 866046.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6406679) and next prime (6406681).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6406681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24229 + ... + 24491.

It is an arithmetic number, because the mean of its divisors is an integer number (178200).

Almost surely, 2^6406680 is an apocalyptic number.

6406680 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 6406680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11404800).

6406680 is an abundant number, since it is smaller than the sum of its proper divisors (16402920).

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

6406680 is a wasteful number, since it uses less digits than its factorization.

6406680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 6406680 is about 2531.1420347345. The cubic root of 6406680 is about 185.7281263283.

It can be divided in two parts, 64066 and 80, that added together give a palindrome (64146).

The spelling of 6406680 in words is "six million, four hundred six thousand, six hundred eighty".