6487680 has 128 divisors (see below), whose sum is σ = 21542400. Its totient is φ = 1658880.

The previous prime is 6487667. The next prime is 6487687. The reversal of 6487680 is 867846.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (6487687) 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, 59466 + ... + 59574.

It is an arithmetic number, because the mean of its divisors is an integer number (168300).

Almost surely, 2^6487680 is an apocalyptic number.

6487680 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 6487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10771200).

6487680 is an abundant number, since it is smaller than the sum of its proper divisors (15054720).

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

6487680 is a wasteful number, since it uses less digits than its factorization.

6487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 6487680 is about 2547.0924600414. The cubic root of 6487680 is about 186.5075741976.

The spelling of 6487680 in words is "six million, four hundred eighty-seven thousand, six hundred eighty".