10007064 has 40 divisors (see below), whose sum is σ = 28030860. Its totient is φ = 3335472.

The previous prime is 10007051. The next prime is 10007077. The reversal of 10007064 is 46070001.

It is an interprime number because it is at equal distance from previous prime (10007051) and next prime (10007077).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7074 + ... + 8369.

Almost surely, 2^10007064 is an apocalyptic number.

It is an amenable number.

10007064 is an abundant number, since it is smaller than the sum of its proper divisors (18023796).

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

10007064 is a wasteful number, since it uses less digits than its factorization.

10007064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15461 (or 15448 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10007064 is about 3163.3943794601. The cubic root of 10007064 is about 215.4941868182.

Adding to 10007064 its reverse (46070001), we get a palindrome (56077065).

The spelling of 10007064 in words is "ten million, seven thousand, sixty-four".