1005360564 has 24 divisors (see below), whose sum is σ = 2526291040. Its totient is φ = 309341664.

The previous prime is 1005360563. The next prime is 1005360619. The reversal of 1005360564 is 4650635001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005360563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3222154 + ... + 3222465.

Almost surely, 2^1005360564 is an apocalyptic number.

It is an amenable number.

1005360564 is an abundant number, since it is smaller than the sum of its proper divisors (1520930476).

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

1005360564 is a wasteful number, since it uses less digits than its factorization.

1005360564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6444639 (or 6444637 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 1005360564 is about 31707.4212764141. The cubic root of 1005360564 is about 1001.7836712918.

Adding to 1005360564 its reverse (4650635001), we get a palindrome (5655995565).

The spelling of 1005360564 in words is "one billion, five million, three hundred sixty thousand, five hundred sixty-four".