8200815616 has 132 divisors (see below), whose sum is σ = 19225432188. Its totient is φ = 3486056448.

The previous prime is 8200815529. The next prime is 8200815643. The reversal of 8200815616 is 6165180028.

It can be written as a sum of positive squares in 2 ways, for example, as 4515840000 + 3684975616 = 67200^2 + 60704^2 .

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, 6873516 + ... + 6874708.

Almost surely, 2^8200815616 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 8200815616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9612716094).

8200815616 is an abundant number, since it is smaller than the sum of its proper divisors (11024616572).

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

8200815616 is a wasteful number, since it uses less digits than its factorization.

8200815616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 8200815616 is about 90558.3547553731. The cubic root of 8200815616 is about 2016.5965312888.

The spelling of 8200815616 in words is "eight billion, two hundred million, eight hundred fifteen thousand, six hundred sixteen".