806957649 has 27 divisors (see below), whose sum is σ = 1240430737. Its totient is φ = 505417344.

The previous prime is 806957639. The next prime is 806957653. The reversal of 806957649 is 946759608.

The square root of 806957649 is 28407.

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

806957649 is a `hidden beast` number, since 8 + 0 + 69 + 576 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28547649 + 778410000 = 5343^2 + 27900^2 .

It is not a de Polignac number, because 806957649 - 2²³ = 798569041 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 806957595 and 806957604.

It is not an unprimeable number, because it can be changed into a prime (806957639) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1448479 + ... + 1449035.

Almost surely, 2^806957649 is an apocalyptic number.

806957649 is the 28407-th square number.

806957649 is the 14204-th centered octagonal number.

It is an amenable number.

806957649 is a deficient number, since it is larger than the sum of its proper divisors (433473088).

806957649 is an equidigital number, since it uses as much as digits as its factorization.

806957649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The cubic root of 806957649 is about 931.0012144816.

The spelling of 806957649 in words is "eight hundred six million, nine hundred fifty-seven thousand, six hundred forty-nine".