811083960 has 144 divisors (see below), whose sum is σ = 2756262600. Its totient is φ = 206836608.

The previous prime is 811083941. The next prime is 811084003. The reversal of 811083960 is 69380118.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 188311 + ... + 192569.

Almost surely, 2^811083960 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 811083960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378131300).

811083960 is an abundant number, since it is smaller than the sum of its proper divisors (1945178640).

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

811083960 is a wasteful number, since it uses less digits than its factorization.

811083960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 4292 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 811083960 is about 28479.5358108239. The cubic root of 811083960 is about 932.5853831978.

The spelling of 811083960 in words is "eight hundred eleven million, eighty-three thousand, nine hundred sixty".