8208648 has 128 divisors (see below), whose sum is σ = 26784000. Its totient is φ = 2280960.

The previous prime is 8208647. The next prime is 8208649. The reversal of 8208648 is 8468028.

8208648 is a `hidden beast` number, since 8 + 2 + 0 + 8 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (8208647) and next prime (8208649).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8208647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92188 + ... + 92276.

It is an arithmetic number, because the mean of its divisors is an integer number (209250).

Almost surely, 2^8208648 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 8208648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13392000).

8208648 is an abundant number, since it is smaller than the sum of its proper divisors (18575352).

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

8208648 is a wasteful number, since it uses less digits than its factorization.

8208648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8208648 is about 2865.0738210385. The cubic root of 8208648 is about 201.7238326505.

The spelling of 8208648 in words is "eight million, two hundred eight thousand, six hundred forty-eight".