808192 has 72 divisors (see below), whose sum is σ = 2060352. Its totient is φ = 307200.

The previous prime is 808187. The next prime is 808211. The reversal of 808192 is 291808.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 808192.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19692 + ... + 19732.

It is an arithmetic number, because the mean of its divisors is an integer number (28616).

2⁸⁰⁸¹⁹² is an apocalyptic number.

808192 is a gapful number since it is divisible by the number (82) 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 808192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030176).

808192 is an abundant number, since it is smaller than the sum of its proper divisors (1252160).

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

808192 is a wasteful number, since it uses less digits than its factorization.

808192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 808192 is about 898.9949944243. The cubic root of 808192 is about 93.1475670126.

It can be divided in two parts, 808 and 192, that added together give a cube (1000 = 10³).

The spelling of 808192 in words is "eight hundred eight thousand, one hundred ninety-two".