1006564 has 18 divisors (see below), whose sum is σ = 1908690. Its totient is φ = 464256.

The previous prime is 1006559. The next prime is 1006583. The reversal of 1006564 is 4656001.

1006564 = T₃₈₇ + T₃₈₈ + ... + T₃₉₉.

1006564 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 3 ways, for example, as 22500 + 984064 = 150^2 + 992^2 .

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 5 ways as a sum of consecutive naturals, for example, 69 + ... + 1420.

2^1006564 is an apocalyptic number.

It is an amenable number.

1006564 is a deficient number, since it is larger than the sum of its proper divisors (902126).

1006564 is a wasteful number, since it uses less digits than its factorization.

1006564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1006564 is about 1003.2766318419. The cubic root of 1006564 is about 100.2183230038.

The spelling of 1006564 in words is "one million, six thousand, five hundred sixty-four".