6811680 has 96 divisors (see below), whose sum is σ = 22425984. Its totient is φ = 1734656.

The previous prime is 6811667. The next prime is 6811681. The reversal of 6811680 is 861186.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (6811681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10732 + ... + 11348.

It is an arithmetic number, because the mean of its divisors is an integer number (233604).

Almost surely, 2^6811680 is an apocalyptic number.

6811680 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 6811680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11212992).

6811680 is an abundant number, since it is smaller than the sum of its proper divisors (15614304).

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

6811680 is a wasteful number, since it uses less digits than its factorization.

6811680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 6811680 is about 2609.9195389897. The cubic root of 6811680 is about 189.5620568912.

The spelling of 6811680 in words is "six million, eight hundred eleven thousand, six hundred eighty".