3005268 has 72 divisors (see below), whose sum is σ = 8618400. Its totient is φ = 810432.

The previous prime is 3005267. The next prime is 3005269. The reversal of 3005268 is 8625003.

It is an interprime number because it is at equal distance from previous prime (3005267) and next prime (3005269).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005267) 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 23 ways as a sum of consecutive naturals, for example, 11038 + ... + 11306.

It is an arithmetic number, because the mean of its divisors is an integer number (119700).

Almost surely, 2^3005268 is an apocalyptic number.

3005268 is a gapful number since it is divisible by the number (38) 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 3005268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309200).

3005268 is an abundant number, since it is smaller than the sum of its proper divisors (5613132).

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

3005268 is a wasteful number, since it uses less digits than its factorization.

3005268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3005268 is about 1733.5708811583. The cubic root of 3005268 is about 144.3093273401.

The spelling of 3005268 in words is "three million, five thousand, two hundred sixty-eight".