811648 has 32 divisors (see below), whose sum is σ = 1716660. Its totient is φ = 380928.

The previous prime is 811637. The next prime is 811649. The reversal of 811648 is 846118.

It can be written as a sum of positive squares in 2 ways, for example, as 788544 + 23104 = 888^2 + 152^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (811649) 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, 1990 + ... + 2362.

2⁸¹¹⁶⁴⁸ 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 811648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858330).

811648 is an abundant number, since it is smaller than the sum of its proper divisors (905012).

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

811648 is a wasteful number, since it uses less digits than its factorization.

811648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 392 counting only the distinct ones).

The product of its digits is 1536, while the sum is 28.

The square root of 811648 is about 900.9150903387. The cubic root of 811648 is about 93.2801511079.

The spelling of 811648 in words is "eight hundred eleven thousand, six hundred forty-eight".