806266656 has 192 divisors, whose sum is σ = 2643459840. Its totient is φ = 237219840.

The previous prime is 806266651. The next prime is 806266661. The reversal of 806266656 is 656662608.

It is an interprime number because it is at equal distance from previous prime (806266651) and next prime (806266661).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806266651) 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 31 ways as a sum of consecutive naturals, for example, 256776 + ... + 259896.

It is an arithmetic number, because the mean of its divisors is an integer number (13768020).

Almost surely, 2^806266656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806266656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321729920).

806266656 is an abundant number, since it is smaller than the sum of its proper divisors (1837193184).

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

806266656 is a wasteful number, since it uses less digits than its factorization.

806266656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176 (or 3162 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 806266656 is about 28394.8350232925. The cubic root of 806266656 is about 930.7354016752.

The spelling of 806266656 in words is "eight hundred six million, two hundred sixty-six thousand, six hundred fifty-six".