806344 has 72 divisors (see below), whose sum is σ = 2046870. Its totient is φ = 295680.

The previous prime is 806329. The next prime is 806363. The reversal of 806344 is 443608.

It can be written as a sum of positive squares in only one way, i.e., 592900 + 213444 = 770^2 + 462^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47424 + ... + 47440.

2⁸⁰⁶³⁴⁴ 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 806344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023435).

806344 is an abundant number, since it is smaller than the sum of its proper divisors (1240526).

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

806344 is a wasteful number, since it uses less digits than its factorization.

806344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 806344 is about 897.9665918062. The cubic root of 806344 is about 93.0765162093.

The spelling of 806344 in words is "eight hundred six thousand, three hundred forty-four".