6807360 has 112 divisors (see below), whose sum is σ = 24725376. Its totient is φ = 1554432.

The previous prime is 6807349. The next prime is 6807389. The reversal of 6807360 is 637086.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6214 + ... + 7226.

Almost surely, 2^6807360 is an apocalyptic number.

6807360 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 6807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12362688).

6807360 is an abundant number, since it is smaller than the sum of its proper divisors (17918016).

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

6807360 is a wasteful number, since it uses less digits than its factorization.

6807360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 6807360 is about 2609.0917960087. The cubic root of 6807360 is about 189.5219746959.

The spelling of 6807360 in words is "six million, eight hundred seven thousand, three hundred sixty".