810959040 has 168 divisors, whose sum is σ = 2892948240. Its totient is φ = 216235008.

The previous prime is 810959027. The next prime is 810959119. The reversal of 810959040 is 40959018.

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

It is a junction number, because it is equal to n+sod(n) for n = 810958986 and 810959004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72546 + ... + 82974.

It is an arithmetic number, because the mean of its divisors is an integer number (17219930).

Almost surely, 2^810959040 is an apocalyptic number.

810959040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446474120).

810959040 is an abundant number, since it is smaller than the sum of its proper divisors (2081989200).

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

810959040 is a wasteful number, since it uses less digits than its factorization.

810959040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10461 (or 10439 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 810959040 is about 28477.3425726489. The cubic root of 810959040 is about 932.5375030139.

The spelling of 810959040 in words is "eight hundred ten million, nine hundred fifty-nine thousand, forty".