811689984 has 288 divisors, whose sum is σ = 2790365760. Its totient is φ = 230916096.

The previous prime is 811689971. The next prime is 811690001. The reversal of 811689984 is 489986118.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 811689984.

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, 3483532 + ... + 3483764.

It is an arithmetic number, because the mean of its divisors is an integer number (9688770).

Almost surely, 2^811689984 is an apocalyptic number.

811689984 is a gapful number since it is divisible by the number (84) 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 811689984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395182880).

811689984 is an abundant number, since it is smaller than the sum of its proper divisors (1978675776).

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

811689984 is an equidigital number, since it uses as much as digits as its factorization.

811689984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 245 counting only the distinct ones).

The product of its digits is 995328, while the sum is 54.

The square root of 811689984 is about 28490.1734638454. The cubic root of 811689984 is about 932.8175944319.

The spelling of 811689984 in words is "eight hundred eleven million, six hundred eighty-nine thousand, nine hundred eighty-four".