6806160 has 160 divisors (see below), whose sum is σ = 24641280. Its totient is φ = 1723392.

The previous prime is 6806147. The next prime is 6806179. The reversal of 6806160 is 616086.

6806160 = T₂₀₈ + T₂₀₉ + ... + T₃₆₇.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49612 + ... + 49748.

It is an arithmetic number, because the mean of its divisors is an integer number (154008).

Almost surely, 2^6806160 is an apocalyptic number.

6806160 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 6806160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12320640).

6806160 is an abundant number, since it is smaller than the sum of its proper divisors (17835120).

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

6806160 is a wasteful number, since it uses less digits than its factorization.

6806160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6806160 is about 2608.8618207947. The cubic root of 6806160 is about 189.5108377434.

It can be divided in two parts, 68061 and 60, that added together give a square (68121 = 261²).

The spelling of 6806160 in words is "six million, eight hundred six thousand, one hundred sixty".