810984960 has 200 divisors, whose sum is σ = 2905434576. Its totient is φ = 216207360.

The previous prime is 810984931. The next prime is 810985009. The reversal of 810984960 is 69489018.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 205405 + ... + 209315.

Almost surely, 2^810984960 is an apocalyptic number.

810984960 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 810984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452717288).

810984960 is an abundant number, since it is smaller than the sum of its proper divisors (2094449616).

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

810984960 is an equidigital number, since it uses as much as digits as its factorization.

810984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3946 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 810984960 is about 28477.7976676568. The cubic root of 810984960 is about 932.5474382113.

The spelling of 810984960 in words is "eight hundred ten million, nine hundred eighty-four thousand, nine hundred sixty".