1006604664 has 128 divisors (see below), whose sum is σ = 2782080000. Its totient is φ = 301607424.

The previous prime is 1006604659. The next prime is 1006604693. The reversal of 1006604664 is 4664066001.

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, 2742609 + ... + 2742975.

It is an arithmetic number, because the mean of its divisors is an integer number (21735000).

Almost surely, 2^1006604664 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 1006604664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391040000).

1006604664 is an abundant number, since it is smaller than the sum of its proper divisors (1775475336).

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

1006604664 is a wasteful number, since it uses less digits than its factorization.

1006604664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 1006604664 is about 31727.0336464032. The cubic root of 1006604664 is about 1002.1967255301.

The spelling of 1006604664 in words is "one billion, six million, six hundred four thousand, six hundred sixty-four".