3066360 has 128 divisors (see below), whose sum is σ = 10575360. Its totient is φ = 704000.

The previous prime is 3066347. The next prime is 3066377. The reversal of 3066360 is 636603.

3066360 = T₁₁ + T₁₂ + ... + T₂₆₃.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3066360.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 30310 + ... + 30410.

It is an arithmetic number, because the mean of its divisors is an integer number (82620).

Almost surely, 2^3066360 is an apocalyptic number.

3066360 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 3066360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5287680).

3066360 is an abundant number, since it is smaller than the sum of its proper divisors (7509000).

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

3066360 is a wasteful number, since it uses less digits than its factorization.

3066360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 3066360 is about 1751.1025098492. The cubic root of 3066360 is about 145.2806297317.

3066360 divided by its sum of digits (24) gives a triangular number (127765 = T₅₀₅).

It can be divided in two parts, 306 and 6360, that added together give a palindrome (6666).

The spelling of 3066360 in words is "three million, sixty-six thousand, three hundred sixty".