1006032768 has 128 divisors (see below), whose sum is σ = 2915404800. Its totient is φ = 305510400.

The previous prime is 1006032761. The next prime is 1006032779. The reversal of 1006032768 is 8672306001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006032761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393093 + ... + 395643.

It is an arithmetic number, because the mean of its divisors is an integer number (22776600).

Almost surely, 2^1006032768 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 1006032768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457702400).

1006032768 is an abundant number, since it is smaller than the sum of its proper divisors (1909372032).

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

1006032768 is a wasteful number, since it uses less digits than its factorization.

1006032768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1006032768 is about 31718.0196103098. The cubic root of 1006032768 is about 1002.0068923554.

Adding to 1006032768 its reverse (8672306001), we get a palindrome (9678338769).

The spelling of 1006032768 in words is "one billion, six million, thirty-two thousand, seven hundred sixty-eight".