808960 has 48 divisors (see below), whose sum is σ = 1965600. Its totient is φ = 319488.

The previous prime is 808957. The next prime is 808961. The reversal of 808960 is 69808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10201 + ... + 10279.

It is an arithmetic number, because the mean of its divisors is an integer number (40950).

2⁸⁰⁸⁹⁶⁰ is an apocalyptic number.

808960 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 808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982800).

808960 is an abundant number, since it is smaller than the sum of its proper divisors (1156640).

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

808960 is an equidigital number, since it uses as much as digits as its factorization.

808960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 808960 is about 899.4220366435. The cubic root of 808960 is about 93.1770627609.

The spelling of 808960 in words is "eight hundred eight thousand, nine hundred sixty".