8208864 has 60 divisors (see below), whose sum is σ = 24149664. Its totient is φ = 2735424.

The previous prime is 8208859. The next prime is 8208877. The reversal of 8208864 is 4688028.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1009 + ... + 4175.

Almost surely, 2^8208864 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 8208864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12074832).

8208864 is an abundant number, since it is smaller than the sum of its proper divisors (15940800).

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

8208864 is a wasteful number, since it uses less digits than its factorization.

8208864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3189 (or 3172 counting only the distinct ones).

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

The square root of 8208864 is about 2865.1115161543. Note that the first 3 decimals coincide. The cubic root of 8208864 is about 201.7256020026.

The spelling of 8208864 in words is "eight million, two hundred eight thousand, eight hundred sixty-four".