806656032 has 216 divisors, whose sum is σ = 2874365676. Its totient is φ = 212696064.

The previous prime is 806656031. The next prime is 806656057. The reversal of 806656032 is 230656608.

806656032 is a `hidden beast` number, since 8 + 0 + 66 + 560 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 773062416 + 33593616 = 27804^2 + 5796^2 .

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

It is not an unprimeable number, because it can be changed into a prime (806656031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 181258 + ... + 185654.

Almost surely, 2^806656032 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 806656032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437182838).

806656032 is an abundant number, since it is smaller than the sum of its proper divisors (2067709644).

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

806656032 is a wasteful number, since it uses less digits than its factorization.

806656032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4440 (or 4422 counting only the distinct ones).

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

The square root of 806656032 is about 28401.6906539030. The cubic root of 806656032 is about 930.8852064166.

The spelling of 806656032 in words is "eight hundred six million, six hundred fifty-six thousand, thirty-two".