3005160 has 64 divisors (see below), whose sum is σ = 9158400. Its totient is φ = 788736.

The previous prime is 3005147. The next prime is 3005161. The reversal of 3005160 is 615003.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3005161) by changing a digit.

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, 9322 + ... + 9638.

It is an arithmetic number, because the mean of its divisors is an integer number (143100).

Almost surely, 2^3005160 is an apocalyptic number.

3005160 is a gapful number since it is divisible by the number (30) 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 3005160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4579200).

3005160 is an abundant number, since it is smaller than the sum of its proper divisors (6153240).

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

3005160 is a wasteful number, since it uses less digits than its factorization.

3005160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 3005160 is about 1733.5397313012. The cubic root of 3005160 is about 144.3075986430.

It can be divided in two parts, 300 and 5160, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 3005160 in words is "three million, five thousand, one hundred sixty".