817310016 has 168 divisors, whose sum is σ = 2450546280. Its totient is φ = 260112384.

The previous prime is 817309993. The next prime is 817310029. The reversal of 817310016 is 610013718.

It can be written as a sum of positive squares in 4 ways, for example, as 16646400 + 800663616 = 4080^2 + 28296^2 .

It is a congruent number.

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, 1887336 + ... + 1887768.

It is an arithmetic number, because the mean of its divisors is an integer number (14586585).

Almost surely, 2^817310016 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 817310016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225273140).

817310016 is an abundant number, since it is smaller than the sum of its proper divisors (1633236264).

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

817310016 is a wasteful number, since it uses less digits than its factorization.

817310016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 817310016 is about 28588.6343850139. The cubic root of 817310016 is about 934.9655457387.

The spelling of 817310016 in words is "eight hundred seventeen million, three hundred ten thousand, sixteen".