10007684 has 12 divisors (see below), whose sum is σ = 17694684. Its totient is φ = 4952064.

The previous prime is 10007681. The next prime is 10007687. The reversal of 10007684 is 48670001.

It is an interprime number because it is at equal distance from previous prime (10007681) and next prime (10007687).

It can be written as a sum of positive squares in 2 ways, for example, as 2334784 + 7672900 = 1528^2 + 2770^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007681) 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, 12509 + ... + 13284.

It is an arithmetic number, because the mean of its divisors is an integer number (1474557).

Almost surely, 2^10007684 is an apocalyptic number.

It is an amenable number.

10007684 is a deficient number, since it is larger than the sum of its proper divisors (7687000).

10007684 is a wasteful number, since it uses less digits than its factorization.

10007684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25894 (or 25892 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 10007684 is about 3163.4923739437. The cubic root of 10007684 is about 215.4986371291.

Adding to 10007684 its reverse (48670001), we get a palindrome (58677685).

The spelling of 10007684 in words is "ten million, seven thousand, six hundred eighty-four".