806556160 has 160 divisors (see below), whose sum is σ = 2100079872. Its totient is φ = 295895040.

The previous prime is 806556139. The next prime is 806556187. The reversal of 806556160 is 61655608.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1871145 + ... + 1871575.

Almost surely, 2^806556160 is an apocalyptic number.

806556160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806556160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050039936).

806556160 is an abundant number, since it is smaller than the sum of its proper divisors (1293523712).

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

806556160 is a wasteful number, since it uses less digits than its factorization.

806556160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 806556160 is about 28399.9323942857. The cubic root of 806556160 is about 930.8467872306.

The spelling of 806556160 in words is "eight hundred six million, five hundred fifty-six thousand, one hundred sixty".