6617680 has 20 divisors (see below), whose sum is σ = 15386292. Its totient is φ = 2647040.

The previous prime is 6617627. The next prime is 6617693. The reversal of 6617680 is 867166.

It can be written as a sum of positive squares in 2 ways, for example, as 1617984 + 4999696 = 1272^2 + 2236^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 41281 + ... + 41440.

Almost surely, 2^6617680 is an apocalyptic number.

It is an amenable number.

6617680 is an abundant number, since it is smaller than the sum of its proper divisors (8768612).

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

6617680 is a wasteful number, since it uses less digits than its factorization.

6617680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82734 (or 82728 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 6617680 is about 2572.4851797435. The cubic root of 6617680 is about 187.7450898626.

The spelling of 6617680 in words is "six million, six hundred seventeen thousand, six hundred eighty".