806512 has 40 divisors (see below), whose sum is σ = 1884800. Its totient is φ = 326592.

The previous prime is 806503. The next prime is 806513. The reversal of 806512 is 215608.

It is a happy number.

It is a super-2 number, since 2×806512² = 1300923212288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1939 + ... + 2317.

It is an arithmetic number, because the mean of its divisors is an integer number (47120).

2⁸⁰⁶⁵¹² 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 806512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942400).

806512 is an abundant number, since it is smaller than the sum of its proper divisors (1078288).

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

806512 is a wasteful number, since it uses less digits than its factorization.

806512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 806512 is about 898.0601316170. The cubic root of 806512 is about 93.0829798563.

The spelling of 806512 in words is "eight hundred six thousand, five hundred twelve".