817632816 has 540 divisors, whose sum is σ = 3096504936. Its totient is φ = 184504320.

The previous prime is 817632791. The next prime is 817632817. The reversal of 817632816 is 618236718.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (817632817) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 48096040 + ... + 48096056.

Almost surely, 2^817632816 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 817632816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548252468).

817632816 is an abundant number, since it is smaller than the sum of its proper divisors (2278872120).

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

817632816 is a wasteful number, since it uses less digits than its factorization.

817632816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 53 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 817632816 is about 28594.2794278856. The cubic root of 817632816 is about 935.0886190514.

The spelling of 817632816 in words is "eight hundred seventeen million, six hundred thirty-two thousand, eight hundred sixteen".