808903368 has 192 divisors, whose sum is σ = 2815344000. Its totient is φ = 213300864.

The previous prime is 808903363. The next prime is 808903369. The reversal of 808903368 is 863309808.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808903363) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 134653 + ... + 140531.

It is an arithmetic number, because the mean of its divisors is an integer number (14663250).

Almost surely, 2^808903368 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 808903368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407672000).

808903368 is an abundant number, since it is smaller than the sum of its proper divisors (2006440632).

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

808903368 is a wasteful number, since it uses less digits than its factorization.

808903368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5921 (or 5904 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 808903368 is about 28441.2265558291. The cubic root of 808903368 is about 931.7488839445.

The spelling of 808903368 in words is "eight hundred eight million, nine hundred three thousand, three hundred sixty-eight".