806481 has 24 divisors (see below), whose sum is σ = 1286376. Its totient is φ = 483840.

The previous prime is 806467. The next prime is 806483. The reversal of 806481 is 184608.

It can be written as a sum of positive squares in 4 ways, for example, as 140625 + 665856 = 375^2 + 816^2 .

It is not a de Polignac number, because 806481 - 2¹⁵ = 773713 is a prime.

It is a super-2 number, since 2×806481² = 1300823206722, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 806481.

It is not an unprimeable number, because it can be changed into a prime (806483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7081 + ... + 7193.

It is an arithmetic number, because the mean of its divisors is an integer number (53599).

2⁸⁰⁶⁴⁸¹ is an apocalyptic number.

It is an amenable number.

806481 is a deficient number, since it is larger than the sum of its proper divisors (479895).

806481 is a wasteful number, since it uses less digits than its factorization.

806481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 806481 is about 898.0428720278. The cubic root of 806481 is about 93.0817872270.

It can be divided in two parts, 80 and 6481, that added together give a 8-th power (6561 = 3⁸).

The spelling of 806481 in words is "eight hundred six thousand, four hundred eighty-one".