806896 has 40 divisors (see below), whose sum is σ = 1696320. Its totient is φ = 370944.

The previous prime is 806893. The next prime is 806903. The reversal of 806896 is 698608.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17145 + ... + 17191.

It is an arithmetic number, because the mean of its divisors is an integer number (42408).

2⁸⁰⁶⁸⁹⁶ 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 806896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848160).

806896 is an abundant number, since it is smaller than the sum of its proper divisors (889424).

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

806896 is a wasteful number, since it uses less digits than its factorization.

806896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 806896 is about 898.2739003222. The cubic root of 806896 is about 93.0977505366.

The spelling of 806896 in words is "eight hundred six thousand, eight hundred ninety-six".