806456 has 16 divisors (see below), whose sum is σ = 1728240. Its totient is φ = 345600.

The previous prime is 806453. The next prime is 806467. The reversal of 806456 is 654608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806453) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7145 + ... + 7256.

It is an arithmetic number, because the mean of its divisors is an integer number (108015).

2⁸⁰⁶⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

806456 is an abundant number, since it is smaller than the sum of its proper divisors (921784).

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

806456 is a wasteful number, since it uses less digits than its factorization.

806456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14414 (or 14410 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 806456 is about 898.0289527627. The cubic root of 806456 is about 93.0808254070.

It can be divided in two parts, 8064 and 56, that multiplied together give a square (451584 = 672²).

The spelling of 806456 in words is "eight hundred six thousand, four hundred fifty-six".