8227866240 has 768 divisors, whose sum is σ = 32995123200. Its totient is φ = 1870848000.

The previous prime is 8227866197. The next prime is 8227866253. The reversal of 8227866240 is 426687228.

8227866240 is a `hidden beast` number, since 82 + 278 + 66 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115885405 + ... + 115885475.

It is an arithmetic number, because the mean of its divisors is an integer number (42962400).

Almost surely, 2^8227866240 is an apocalyptic number.

8227866240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8227866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16497561600).

8227866240 is an abundant number, since it is smaller than the sum of its proper divisors (24767256960).

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

8227866240 is a wasteful number, since it uses less digits than its factorization.

8227866240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 8227866240 is about 90707.5864522919. The cubic root of 8227866240 is about 2018.8113648815.

The spelling of 8227866240 in words is "eight billion, two hundred twenty-seven million, eight hundred sixty-six thousand, two hundred forty".