8468064 has 144 divisors (see below), whose sum is σ = 27483120. Its totient is φ = 2566080.

The previous prime is 8468041. The next prime is 8468077. The reversal of 8468064 is 4608648.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (144).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 769819 + ... + 769829.

It is an arithmetic number, because the mean of its divisors is an integer number (190855).

Almost surely, 2^8468064 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 8468064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13741560).

8468064 is an abundant number, since it is smaller than the sum of its proper divisors (19015056).

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

8468064 is an equidigital number, since it uses as much as digits as its factorization.

8468064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8468064 is about 2909.9938144264. The cubic root of 8468064 is about 203.8268426832.

Adding to 8468064 its sum of digits (36), we get a square (8468100 = 2910²).

The spelling of 8468064 in words is "eight million, four hundred sixty-eight thousand, sixty-four".