816165328 has 60 divisors (see below), whose sum is σ = 1798205220. Its totient is φ = 358167040.

The previous prime is 816165323. The next prime is 816165367. The reversal of 816165328 is 823561618.

It can be written as a sum of positive squares in 2 ways, for example, as 306670144 + 509495184 = 17512^2 + 22572^2 .

It is a super-2 number, since 2×816165328² = 1332251685258695168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816165323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48876 + ... + 63412.

It is an arithmetic number, because the mean of its divisors is an integer number (29970087).

Almost surely, 2^816165328 is an apocalyptic number.

816165328 is a gapful number since it is divisible by the number (88) 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 816165328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899102610).

816165328 is an abundant number, since it is smaller than the sum of its proper divisors (982039892).

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

816165328 is a wasteful number, since it uses less digits than its factorization.

816165328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14596 (or 14579 counting only the distinct ones).

The product of its digits is 69120, while the sum is 40.

The square root of 816165328 is about 28568.6073864303. The cubic root of 816165328 is about 934.5288514391.

The spelling of 816165328 in words is "eight hundred sixteen million, one hundred sixty-five thousand, three hundred twenty-eight".