800648 has 16 divisors (see below), whose sum is σ = 1538460. Its totient is φ = 390400.

The previous prime is 800647. The next prime is 800651. The reversal of 800648 is 846008.

It can be written as a sum of positive squares in 2 ways, for example, as 605284 + 195364 = 778^2 + 442^2 .

It is not an unprimeable number, because it can be changed into a prime (800647) 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, 893 + ... + 1548.

2⁸⁰⁰⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

800648 is a deficient number, since it is larger than the sum of its proper divisors (737812).

800648 is a wasteful number, since it uses less digits than its factorization.

800648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 800648 is about 894.7893606878. The cubic root of 800648 is about 92.8568344876.

It can be divided in two parts, 800 and 648, that multiplied together give a square (518400 = 720²).

The spelling of 800648 in words is "eight hundred thousand, six hundred forty-eight".