816410016 has 168 divisors, whose sum is σ = 2445871680. Its totient is φ = 268085376.

The previous prime is 816409991. The next prime is 816410029. The reversal of 816410016 is 610014618.

816410016 is a `hidden beast` number, since 8 + 1 + 641 + 0 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 1842691 + ... + 1843133.

It is an arithmetic number, because the mean of its divisors is an integer number (14558760).

Almost surely, 2^816410016 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 816410016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222935840).

816410016 is an abundant number, since it is smaller than the sum of its proper divisors (1629461664).

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

816410016 is an equidigital number, since it uses as much as digits as its factorization.

816410016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 816410016 is about 28572.8895283624. The cubic root of 816410016 is about 934.6222333148.

The spelling of 816410016 in words is "eight hundred sixteen million, four hundred ten thousand, sixteen".