8468864 has 32 divisors (see below), whose sum is σ = 17054400. Its totient is φ = 4188672.

The previous prime is 8468861. The next prime is 8468897. The reversal of 8468864 is 4688648.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8468861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13649 + ... + 14255.

It is an arithmetic number, because the mean of its divisors is an integer number (532950).

Almost surely, 2^8468864 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 8468864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8527200).

8468864 is an abundant number, since it is smaller than the sum of its proper divisors (8585536).

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

8468864 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 11 representation: 8468864 = (4864868)₁₁.

8468864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 718 counting only the distinct ones).

The product of its digits is 294912, while the sum is 44.

The square root of 8468864 is about 2910.1312685169. The cubic root of 8468864 is about 203.8332611649.

The spelling of 8468864 in words is "eight million, four hundred sixty-eight thousand, eight hundred sixty-four".