8228640 has 192 divisors, whose sum is σ = 30965760. Its totient is φ = 1797120.

The previous prime is 8228603. The next prime is 8228651. The reversal of 8228640 is 468228.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 8228598 and 8228607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104121 + ... + 104199.

It is an arithmetic number, because the mean of its divisors is an integer number (161280).

Almost surely, 2^8228640 is an apocalyptic number.

8228640 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 8228640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15482880).

8228640 is an abundant number, since it is smaller than the sum of its proper divisors (22737120).

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

8228640 is a wasteful number, since it uses less digits than its factorization.

8228640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 8228640 is about 2868.5606146637. The cubic root of 8228640 is about 201.8874646842.

The spelling of 8228640 in words is "eight million, two hundred twenty-eight thousand, six hundred forty".