1006856361 has 27 divisors (see below), whose sum is σ = 1692913053. Its totient is φ = 574965720.

The previous prime is 1006856359. The next prime is 1006856387. The reversal of 1006856361 is 1636586001.

It is a happy number.

The square root of 1006856361 is 31731.

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

1006856361 is a `hidden beast` number, since 10 + 0 + 6 + 8 + 5 + 636 + 1 = 666.

It is not a de Polignac number, because 1006856361 - 2¹ = 1006856359 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1006856561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 665596 + ... + 667106.

Almost surely, 2^1006856361 is an apocalyptic number.

1006856361 is the 31731-st square number.

1006856361 is the 15866-th centered octagonal number.

It is an amenable number.

1006856361 is a deficient number, since it is larger than the sum of its proper divisors (686056692).

1006856361 is an frugal number, since it uses more digits than its factorization.

1006856361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The cubic root of 1006856361 is about 1002.2802501737.

Multiplying 1006856361 by its sum of digits (36), we get a square (36246828996 = 190386²).

The spelling of 1006856361 in words is "one billion, six million, eight hundred fifty-six thousand, three hundred sixty-one".