806956160 has 128 divisors (see below), whose sum is σ = 1994630400. Its totient is φ = 312016896.

The previous prime is 806956121. The next prime is 806956169. The reversal of 806956160 is 61659608.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (806956169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4181024 + ... + 4181216.

It is an arithmetic number, because the mean of its divisors is an integer number (15583050).

Almost surely, 2^806956160 is an apocalyptic number.

806956160 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 806956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997315200).

806956160 is an abundant number, since it is smaller than the sum of its proper divisors (1187674240).

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

806956160 is a wasteful number, since it uses less digits than its factorization.

806956160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 806956160 is about 28406.9737916590. The cubic root of 806956160 is about 931.0006418528. Note that the first 3 decimals are identical.

The spelling of 806956160 in words is "eight hundred six million, nine hundred fifty-six thousand, one hundred sixty".