6687920 has 40 divisors (see below), whose sum is σ = 15936480. Its totient is φ = 2608640.

The previous prime is 6687881. The next prime is 6687931. The reversal of 6687920 is 297866.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2261 + ... + 4299.

It is an arithmetic number, because the mean of its divisors is an integer number (398412).

Almost surely, 2^6687920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6687920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7968240).

6687920 is an abundant number, since it is smaller than the sum of its proper divisors (9248560).

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

6687920 is a wasteful number, since it uses less digits than its factorization.

6687920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 6687920 is about 2586.1013127873. The cubic root of 6687920 is about 188.4069951409.

The spelling of 6687920 in words is "six million, six hundred eighty-seven thousand, nine hundred twenty".