6816160 has 96 divisors (see below), whose sum is σ = 18098640. Its totient is φ = 2408448.

The previous prime is 6816157. The next prime is 6816163. The reversal of 6816160 is 616186.

6816160 = T₅₅ + T₅₆ + ... + T₃₄₄.

It is an interprime number because it is at equal distance from previous prime (6816157) and next prime (6816163).

It can be written as a sum of positive squares in 8 ways, for example, as 283024 + 6533136 = 532^2 + 2556^2 .

It is not an unprimeable number, because it can be changed into a prime (6816163) 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, 60264 + ... + 60376.

Almost surely, 2^6816160 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 6816160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9049320).

6816160 is an abundant number, since it is smaller than the sum of its proper divisors (11282480).

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

6816160 is a wasteful number, since it uses less digits than its factorization.

6816160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 6816160 is about 2610.7776619237. Note that the first 3 decimals coincide. The cubic root of 6816160 is about 189.6036057164.

The spelling of 6816160 in words is "six million, eight hundred sixteen thousand, one hundred sixty".