10009064 has 32 divisors (see below), whose sum is σ = 20372520. Its totient is φ = 4582656.

The previous prime is 10009061. The next prime is 10009079. The reversal of 10009064 is 46090001.

10009064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2402500 + 7606564 = 1550^2 + 2758^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10009061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16022 + ... + 16634.

Almost surely, 2^10009064 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 10009064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10186260).

10009064 is an abundant number, since it is smaller than the sum of its proper divisors (10363456).

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

10009064 is a wasteful number, since it uses less digits than its factorization.

10009064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 10009064 is about 3163.7104798006. The cubic root of 10009064 is about 215.5085419999.

Adding to 10009064 its reverse (46090001), we get a palindrome (56099065).

The spelling of 10009064 in words is "ten million, nine thousand, sixty-four".