811296648 has 80 divisors (see below), whose sum is σ = 2285832780. Its totient is φ = 268831872.

The previous prime is 811296617. The next prime is 811296649. The reversal of 811296648 is 846692118.

It can be written as a sum of positive squares in 2 ways, for example, as 729972324 + 81324324 = 27018^2 + 9018^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (811296649) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 108486 + ... + 115722.

Almost surely, 2^811296648 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 811296648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142916390).

811296648 is an abundant number, since it is smaller than the sum of its proper divisors (1474536132).

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

811296648 is a wasteful number, since it uses less digits than its factorization.

811296648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7428 (or 7415 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 811296648 is about 28483.2696156884. The cubic root of 811296648 is about 932.6668923858. Note that the first 3 decimals are identical.

The spelling of 811296648 in words is "eight hundred eleven million, two hundred ninety-six thousand, six hundred forty-eight".