8206688256 has 224 divisors, whose sum is σ = 24969264768. Its totient is φ = 2375024640.

The previous prime is 8206688233. The next prime is 8206688257. The reversal of 8206688256 is 6528866028.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 8206688199 and 8206688208.

It is not an unprimeable number, because it can be changed into a prime (8206688257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5430541 + ... + 5432051.

It is an arithmetic number, because the mean of its divisors is an integer number (111469932).

Almost surely, 2^8206688256 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 8206688256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12484632384).

8206688256 is an abundant number, since it is smaller than the sum of its proper divisors (16762576512).

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

8206688256 is a wasteful number, since it uses less digits than its factorization.

8206688256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The square root of 8206688256 is about 90590.7735699392. The cubic root of 8206688256 is about 2017.0777809698.

The spelling of 8206688256 in words is "eight billion, two hundred six million, six hundred eighty-eight thousand, two hundred fifty-six".