1006665984 has 81 divisors (see below), whose sum is σ = 2906863869. Its totient is φ = 335047680.

The previous prime is 1006665973. The next prime is 1006666013. The reversal of 1006665984 is 4895666001.

The square root of 1006665984 is 31728.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 799305984 + 207360000 = 28272^2 + 14400^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1522614 + ... + 1523274.

Almost surely, 2^1006665984 is an apocalyptic number.

1006665984 is the 31728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006665984

1006665984 is an abundant number, since it is smaller than the sum of its proper divisors (1900197885).

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

1006665984 is an frugal number, since it uses more digits than its factorization.

1006665984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The cubic root of 1006665984 is about 1002.2170756098.

The spelling of 1006665984 in words is "one billion, six million, six hundred sixty-five thousand, nine hundred eighty-four".