816516 has 36 divisors (see below), whose sum is σ = 2123212. Its totient is φ = 264384.

The previous prime is 816499. The next prime is 816521. The reversal of 816516 is 615618.

816516 is a `hidden beast` number, since 8 + 1 + 651 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 298116 + 518400 = 546^2 + 720^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 816516.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1026 + ... + 1638.

2⁸¹⁶⁵¹⁶ 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 816516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061606).

816516 is an abundant number, since it is smaller than the sum of its proper divisors (1306696).

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

816516 is a wasteful number, since it uses less digits than its factorization.

816516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 655 counting only the distinct ones).

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

The square root of 816516 is about 903.6127489140. The cubic root of 816516 is about 93.4662674888.

The spelling of 816516 in words is "eight hundred sixteen thousand, five hundred sixteen".