8211203616 has 288 divisors, whose sum is σ = 28240773120. Its totient is φ = 2063577600.

The previous prime is 8211203599. The next prime is 8211203633. The reversal of 8211203616 is 6163021128.

It is an interprime number because it is at equal distance from previous prime (8211203599) and next prime (8211203633).

It is a super-2 number, since 2×8211203616² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1601505 + ... + 1606623.

It is an arithmetic number, because the mean of its divisors is an integer number (98058240).

Almost surely, 2^8211203616 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 8211203616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14120386560).

8211203616 is an abundant number, since it is smaller than the sum of its proper divisors (20029569504).

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

8211203616 is a wasteful number, since it uses less digits than its factorization.

8211203616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5188 (or 5173 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 8211203616 is about 90615.6918861187. The cubic root of 8211203616 is about 2017.4476484959.

The spelling of 8211203616 in words is "eight billion, two hundred eleven million, two hundred three thousand, six hundred sixteen".