1006830560 has 48 divisors (see below), whose sum is σ = 2389111200. Its totient is φ = 400958976.

The previous prime is 1006830551. The next prime is 1006830581. The reversal of 1006830560 is 650386001.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22901 + ... + 50379.

It is an arithmetic number, because the mean of its divisors is an integer number (49773150).

Almost surely, 2^1006830560 is an apocalyptic number.

1006830560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006830560 is the 18320-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006830560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194555600).

1006830560 is an abundant number, since it is smaller than the sum of its proper divisors (1382280640).

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

1006830560 is a wasteful number, since it uses less digits than its factorization.

1006830560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27723 (or 27715 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 1006830560 is about 31730.5934391401. The cubic root of 1006830560 is about 1002.2716888553.

The spelling of 1006830560 in words is "one billion, six million, eight hundred thirty thousand, five hundred sixty".