1006080768 has 432 divisors, whose sum is σ = 3719229696. Its totient is φ = 253992960.

The previous prime is 1006080767. The next prime is 1006080787. The reversal of 1006080768 is 8670806001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1006080767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9402571 + ... + 9402677.

It is an arithmetic number, because the mean of its divisors is an integer number (8609328).

Almost surely, 2^1006080768 is an apocalyptic number.

1006080768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006080768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859614848).

1006080768 is an abundant number, since it is smaller than the sum of its proper divisors (2713148928).

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

1006080768 is a wasteful number, since it uses less digits than its factorization.

1006080768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1006080768 is about 31718.7762689546. The cubic root of 1006080768 is about 1002.0228280742.

Adding to 1006080768 its reverse (8670806001), we get a palindrome (9676886769).

The spelling of 1006080768 in words is "one billion, six million, eighty thousand, seven hundred sixty-eight".