810961116 has 192 divisors, whose sum is σ = 2418769920. Its totient is φ = 206219520.

The previous prime is 810961093. The next prime is 810961159. The reversal of 810961116 is 611169018.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1830391 + ... + 1830833.

It is an arithmetic number, because the mean of its divisors is an integer number (12597760).

Almost surely, 2^810961116 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 810961116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209384960).

810961116 is an abundant number, since it is smaller than the sum of its proper divisors (1607808804).

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

810961116 is a wasteful number, since it uses less digits than its factorization.

810961116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 810961116 is about 28477.3790226559. The cubic root of 810961116 is about 932.5382987574.

The spelling of 810961116 in words is "eight hundred ten million, nine hundred sixty-one thousand, one hundred sixteen".