6667680 has 96 divisors (see below), whose sum is σ = 21772800. Its totient is φ = 1713152.

The previous prime is 6667673. The next prime is 6667693. The reversal of 6667680 is 867666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13681 + ... + 14159.

It is an arithmetic number, because the mean of its divisors is an integer number (226800).

Almost surely, 2^6667680 is an apocalyptic number.

6667680 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 6667680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10886400).

6667680 is an abundant number, since it is smaller than the sum of its proper divisors (15105120).

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

6667680 is a wasteful number, since it uses less digits than its factorization.

6667680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 6667680 is about 2582.1851211716. The cubic root of 6667680 is about 188.2167411249.

The spelling of 6667680 in words is "six million, six hundred sixty-seven thousand, six hundred eighty".