1005307664 has 80 divisors (see below), whose sum is σ = 2051303232. Its totient is φ = 476872704.

The previous prime is 1005307663. The next prime is 1005307669. The reversal of 1005307664 is 4667035001.

It is a self number, because there is not a number n which added to its sum of digits gives 1005307664.

It is not an unprimeable number, because it can be changed into a prime (1005307661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5208752 + ... + 5208944.

Almost surely, 2^1005307664 is an apocalyptic number.

It is an amenable number.

1005307664 is an abundant number, since it is smaller than the sum of its proper divisors (1045995568).

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

1005307664 is a wasteful number, since it uses less digits than its factorization.

1005307664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 1005307664 is about 31706.5870758743. The cubic root of 1005307664 is about 1001.7661003865.

The spelling of 1005307664 in words is "one billion, five million, three hundred seven thousand, six hundred sixty-four".