10064 has 20 divisors (see below), whose sum is σ = 21204. Its totient is φ = 4608.

The previous prime is 10061. The next prime is 10067. The reversal of 10064 is 46001.

It is an interprime number because it is at equal distance from previous prime (10061) and next prime (10067).

It can be written as a sum of positive squares in 2 ways, for example, as 8464 + 1600 = 92^2 + 40^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10061) 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, 254 + ... + 290.

2¹⁰⁰⁶⁴ 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 10064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10602).

10064 is an abundant number, since it is smaller than the sum of its proper divisors (11140).

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

10064 is a wasteful number, since it uses less digits than its factorization.

10064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 10064 is about 100.3194896319. The cubic root of 10064 is about 21.5902104701.

Adding to 10064 its reverse (46001), we get a palindrome (56065).

Subtracting 10064 from its reverse (46001), we obtain a cube (35937 = 33³).

It can be divided in two parts, 100 and 64, that multiplied together give a square (6400 = 80²).

The spelling of 10064 in words is "ten thousand, sixty-four".