8246228640 has 192 divisors, whose sum is σ = 29190502656. Its totient is φ = 1941553152.

The previous prime is 8246228621. The next prime is 8246228651. The reversal of 8246228640 is 468226428.

It is a junction number, because it is equal to n+sod(n) for n = 8246228592 and 8246228601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114792 + ... + 172248.

It is an arithmetic number, because the mean of its divisors is an integer number (152033868).

Almost surely, 2^8246228640 is an apocalyptic number.

8246228640 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 8246228640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14595251328).

8246228640 is an abundant number, since it is smaller than the sum of its proper divisors (20944274016).

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

8246228640 is a wasteful number, since it uses less digits than its factorization.

8246228640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57511 (or 57503 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 8246228640 is about 90808.7475962531. The cubic root of 8246228640 is about 2020.3120649789.

The spelling of 8246228640 in words is "eight billion, two hundred forty-six million, two hundred twenty-eight thousand, six hundred forty".