816005016 has 160 divisors (see below), whose sum is σ = 2387523600. Its totient is φ = 260064000.

The previous prime is 816004999. The next prime is 816005039. The reversal of 816005016 is 610500618.

816005016 is a `hidden beast` number, since 8 + 1 + 600 + 50 + 1 + 6 = 666.

816005016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×816005016² = 1331728372274320512, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3250891 + ... + 3251141.

Almost surely, 2^816005016 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 816005016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193761800).

816005016 is an abundant number, since it is smaller than the sum of its proper divisors (1571518584).

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

816005016 is a wasteful number, since it uses less digits than its factorization.

816005016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 816005016 is about 28565.8015115977. The cubic root of 816005016 is about 934.4676604058.

The spelling of 816005016 in words is "eight hundred sixteen million, five thousand, sixteen".