3006564 has 24 divisors (see below), whose sum is σ = 7653408. Its totient is φ = 911040.

The previous prime is 3006551. The next prime is 3006599. The reversal of 3006564 is 4656003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11257 + ... + 11520.

It is an arithmetic number, because the mean of its divisors is an integer number (318892).

Almost surely, 2^3006564 is an apocalyptic number.

It is an amenable number.

3006564 is an abundant number, since it is smaller than the sum of its proper divisors (4646844).

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

3006564 is a wasteful number, since it uses less digits than its factorization.

3006564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22795 (or 22793 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3006564 is about 1733.9446357943. The cubic root of 3006564 is about 144.3300684754.

It can be divided in two parts, 3006 and 564, that added together give a triangular number (3570 = T₈₄).

The spelling of 3006564 in words is "three million, six thousand, five hundred sixty-four".