3066144 has 72 divisors (see below), whose sum is σ = 8683920. Its totient is φ = 944640.

The previous prime is 3066127. The next prime is 3066157. The reversal of 3066144 is 4416603.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74764 + ... + 74804.

It is an arithmetic number, because the mean of its divisors is an integer number (120610).

Almost surely, 2^3066144 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 3066144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4341960).

3066144 is an abundant number, since it is smaller than the sum of its proper divisors (5617776).

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

3066144 is a wasteful number, since it uses less digits than its factorization.

3066144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3066144 is about 1751.0408333331. The cubic root of 3066144 is about 145.2772183739.

The spelling of 3066144 in words is "three million, sixty-six thousand, one hundred forty-four".