811641288 has 64 divisors (see below), whose sum is σ = 2069064000. Its totient is φ = 265244672.

The previous prime is 811641263. The next prime is 811641307. The reversal of 811641288 is 882146118.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 873208 + ... + 874136.

It is an arithmetic number, because the mean of its divisors is an integer number (32329125).

Almost surely, 2^811641288 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 811641288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034532000).

811641288 is an abundant number, since it is smaller than the sum of its proper divisors (1257422712).

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

811641288 is a wasteful number, since it uses less digits than its factorization.

811641288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1610 counting only the distinct ones).

The product of its digits is 24576, while the sum is 39.

The square root of 811641288 is about 28489.3188405760. The cubic root of 811641288 is about 932.7989397752.

The spelling of 811641288 in words is "eight hundred eleven million, six hundred forty-one thousand, two hundred eighty-eight".