8287349616 has 360 divisors, whose sum is σ = 29283063264. Its totient is φ = 2168570880.

The previous prime is 8287349597. The next prime is 8287349621. The reversal of 8287349616 is 6169437828.

8287349616 is a `hidden beast` number, since 8 + 287 + 349 + 6 + 16 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15318306 + ... + 15318846.

Almost surely, 2^8287349616 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 8287349616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14641531632).

8287349616 is an abundant number, since it is smaller than the sum of its proper divisors (20995713648).

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

8287349616 is a wasteful number, since it uses less digits than its factorization.

8287349616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 733 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 8287349616 is about 91034.8813148015. The cubic root of 8287349616 is about 2023.6646882127.

The spelling of 8287349616 in words is "eight billion, two hundred eighty-seven million, three hundred forty-nine thousand, six hundred sixteen".