9164864 has 28 divisors (see below), whose sum is σ = 18402300. Its totient is φ = 4528128.

The previous prime is 9164861. The next prime is 9164873. The reversal of 9164864 is 4684619.

It can be written as a sum of positive squares in 2 ways, for example, as 5953600 + 3211264 = 2440^2 + 1792^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9164861) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4892 + ... + 6500.

It is an arithmetic number, because the mean of its divisors is an integer number (657225).

Almost surely, 2^9164864 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 9164864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9201150).

9164864 is an abundant number, since it is smaller than the sum of its proper divisors (9237436).

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

9164864 is a wasteful number, since it uses less digits than its factorization.

9164864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1700 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 9164864 is about 3027.3526388579. The cubic root of 9164864 is about 209.2708194559.

The spelling of 9164864 in words is "nine million, one hundred sixty-four thousand, eight hundred sixty-four".