6807460 has 72 divisors (see below), whose sum is σ = 16422840. Its totient is φ = 2365440.

The previous prime is 6807457. The next prime is 6807467. The reversal of 6807460 is 647086.

It can be written as a sum of positive squares in 4 ways, for example, as 627264 + 6180196 = 792^2 + 2486^2 .

It is not an unprimeable number, because it can be changed into a prime (6807467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70132 + ... + 70228.

It is an arithmetic number, because the mean of its divisors is an integer number (228095).

Almost surely, 2^6807460 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 6807460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8211420).

6807460 is an abundant number, since it is smaller than the sum of its proper divisors (9615380).

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

6807460 is a wasteful number, since it uses less digits than its factorization.

6807460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 6807460 is about 2609.1109596949. The cubic root of 6807460 is about 189.5229027162.

The spelling of 6807460 in words is "six million, eight hundred seven thousand, four hundred sixty".