817065984 has 312 divisors, whose sum is σ = 2689269120. Its totient is φ = 219512832.

The previous prime is 817065947. The next prime is 817065989. The reversal of 817065984 is 489560718.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (817065989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13848547 + ... + 13848605.

Almost surely, 2^817065984 is an apocalyptic number.

817065984 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 817065984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344634560).

817065984 is an abundant number, since it is smaller than the sum of its proper divisors (1872203136).

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

817065984 is a wasteful number, since it uses less digits than its factorization.

817065984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 817065984 is about 28584.3660765811. The cubic root of 817065984 is about 934.8724826335.

The spelling of 817065984 in words is "eight hundred seventeen million, sixty-five thousand, nine hundred eighty-four".