1006828705 has 8 divisors (see below), whose sum is σ = 1208678400. Its totient is φ = 805140336.

The previous prime is 1006828679. The next prime is 1006828709. The reversal of 1006828705 is 5078286001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1006828705 - 2⁵ = 1006828673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1006828709) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26145 + ... + 51934.

It is an arithmetic number, because the mean of its divisors is an integer number (151084800).

Almost surely, 2^1006828705 is an apocalyptic number.

It is an amenable number.

1006828705 is a deficient number, since it is larger than the sum of its proper divisors (201849695).

1006828705 is an equidigital number, since it uses as much as digits as its factorization.

1006828705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80663.

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 1006828705 is about 31730.5642086617. The cubic root of 1006828705 is about 1002.2710733214.

The spelling of 1006828705 in words is "one billion, six million, eight hundred twenty-eight thousand, seven hundred five".