808956 has 36 divisors (see below), whose sum is σ = 2135952. Its totient is φ = 257664.

The previous prime is 808937. The next prime is 808957. The reversal of 808956 is 659808.

It is a tau number, because it is divible by the number of its divisors (36).

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 808956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808957) by changing a digit.

808956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340 + ... + 1316.

It is an arithmetic number, because the mean of its divisors is an integer number (59332).

2⁸⁰⁸⁹⁵⁶ 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 808956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067976).

808956 is an abundant number, since it is smaller than the sum of its proper divisors (1326996).

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

808956 is a wasteful number, since it uses less digits than its factorization.

808956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 808956 is about 899.4198129906. The cubic root of 808956 is about 93.1769091856.

It can be divided in two parts, 808 and 956, that added together give a square (1764 = 42²).

The spelling of 808956 in words is "eight hundred eight thousand, nine hundred fifty-six".