6493680 has 120 divisors (see below), whose sum is σ = 22632480. Its totient is φ = 1666560.

The previous prime is 6493679. The next prime is 6493681. The reversal of 6493680 is 863946.

6493680 is a `hidden beast` number, since 649 + 3 + 6 + 8 + 0 = 666.

6493680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6493679) and next prime (6493681).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6493681) 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 23 ways as a sum of consecutive naturals, for example, 20725 + ... + 21035.

It is an arithmetic number, because the mean of its divisors is an integer number (188604).

Almost surely, 2^6493680 is an apocalyptic number.

6493680 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 6493680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11316240).

6493680 is an abundant number, since it is smaller than the sum of its proper divisors (16138800).

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

6493680 is a wasteful number, since it uses less digits than its factorization.

6493680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6493680 is about 2548.2700013931. The cubic root of 6493680 is about 186.5650524048.

The spelling of 6493680 in words is "six million, four hundred ninety-three thousand, six hundred eighty".