806912 has 26 divisors (see below), whose sum is σ = 1621818. Its totient is φ = 401408.

The previous prime is 806903. The next prime is 806917. The reversal of 806912 is 219608.

It can be written as a sum of positive squares in only one way, i.e., 802816 + 4096 = 896^2 + 64^2 .

It is a super-2 number, since 2×806912² = 1302213951488, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806917) by changing a digit.

806912 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3998 + ... + 4194.

2⁸⁰⁶⁹¹² 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 806912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810909).

806912 is an abundant number, since it is smaller than the sum of its proper divisors (814906).

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

806912 is an equidigital number, since it uses as much as digits as its factorization.

806912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 806912 is about 898.2828062476. The cubic root of 806912 is about 93.0983658800.

The spelling of 806912 in words is "eight hundred six thousand, nine hundred twelve".