9064 has 16 divisors (see below), whose sum is σ = 18720. Its totient is φ = 4080.

The previous prime is 9059. The next prime is 9067. The reversal of 9064 is 4609.

9064 = T₁₇ + T₁₈ + ... + T₃₈.

It is a happy number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (9067) 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, 37 + ... + 139.

It is an arithmetic number, because the mean of its divisors is an integer number (1170).

2⁹⁰⁶⁴ 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 9064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9360).

9064 is an abundant number, since it is smaller than the sum of its proper divisors (9656).

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

9064 is a wasteful number, since it uses less digits than its factorization.

9064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 9064 is about 95.2050418833. The cubic root of 9064 is about 20.8500275079.

Subtracting from 9064 its sum of digits (19), we obtain a triangular number (9045 = T₁₃₄).

The spelling of 9064 in words is "nine thousand, sixty-four".