806230656 has 384 divisors, whose sum is σ = 2959632000. Its totient is φ = 204595200.

The previous prime is 806230651. The next prime is 806230657. The reversal of 806230656 is 656032608.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 806230656.

It is not an unprimeable number, because it can be changed into a prime (806230651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5410870 + ... + 5411018.

It is an arithmetic number, because the mean of its divisors is an integer number (7707375).

Almost surely, 2^806230656 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 806230656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479816000).

806230656 is an abundant number, since it is smaller than the sum of its proper divisors (2153401344).

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

806230656 is a wasteful number, since it uses less digits than its factorization.

806230656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 806230656 is about 28394.2010981116. The cubic root of 806230656 is about 930.7215489492.

The spelling of 806230656 in words is "eight hundred six million, two hundred thirty thousand, six hundred fifty-six".