8207635216 has 135 divisors (see below), whose sum is σ = 18361463029. Its totient is φ = 3551363200.

The previous prime is 8207635213. The next prime is 8207635229. The reversal of 8207635216 is 6125367028.

The square root of 8207635216 is 90596.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4303884816 + 3903750400 = 65604^2 + 62480^2 .

It is a super-3 number, since 3×8207635216³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8207635213) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 115600461 + ... + 115600531.

Almost surely, 2^8207635216 is an apocalyptic number.

8207635216 is the 90596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8207635216

8207635216 is an abundant number, since it is smaller than the sum of its proper divisors (10153827813).

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

8207635216 is a wasteful number, since it uses less digits than its factorization.

8207635216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The cubic root of 8207635216 is about 2017.1553607216.

The spelling of 8207635216 in words is "eight billion, two hundred seven million, six hundred thirty-five thousand, two hundred sixteen".