3000564 has 96 divisors (see below), whose sum is σ = 9184000. Its totient is φ = 857304.

The previous prime is 3000553. The next prime is 3000607. The reversal of 3000564 is 4650003.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428649 + ... + 428655.

Almost surely, 2^3000564 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 3000564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4592000).

3000564 is an abundant number, since it is smaller than the sum of its proper divisors (6183436).

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

3000564 is an frugal number, since it uses more digits than its factorization.

3000564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3000564 is about 1732.2136126933. The cubic root of 3000564 is about 144.2339945617.

Multiplying 3000564 by its sum of digits (18), we get a cube (54010152 = 378³).

Adding to 3000564 its reverse (4650003), we get a palindrome (7650567).

The spelling of 3000564 in words is "three million, five hundred sixty-four", and thus it is an aban number.