811893248 has 40 divisors (see below), whose sum is σ = 1636673148. Its totient is φ = 402325504.

The previous prime is 811893241. The next prime is 811893263. The reversal of 811893248 is 842398118.

It can be written as a sum of positive squares in 2 ways, for example, as 593799424 + 218093824 = 24368^2 + 14768^2 .

It is a super-2 number, since 2×811893248² = 1318341292295979008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 811893199 and 811893208.

It is not an unprimeable number, because it can be changed into a prime (811893241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50840 + ... + 64872.

Almost surely, 2^811893248 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 811893248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818336574).

811893248 is an abundant number, since it is smaller than the sum of its proper divisors (824779900).

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

811893248 is a wasteful number, since it uses less digits than its factorization.

811893248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14164 (or 14148 counting only the distinct ones).

The product of its digits is 110592, while the sum is 44.

The square root of 811893248 is about 28493.7405055918. The cubic root of 811893248 is about 932.8954535547.

The spelling of 811893248 in words is "eight hundred eleven million, eight hundred ninety-three thousand, two hundred forty-eight".