10007946 has 48 divisors (see below), whose sum is σ = 24591840. Its totient is φ = 2916000.

The previous prime is 10007897. The next prime is 10007953. The reversal of 10007946 is 64970001.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3321 + ... + 5571.

It is an arithmetic number, because the mean of its divisors is an integer number (512330).

Almost surely, 2^10007946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10007946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12295920).

10007946 is an abundant number, since it is smaller than the sum of its proper divisors (14583894).

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

10007946 is a wasteful number, since it uses less digits than its factorization.

10007946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10007946 is about 3163.5337836034. The cubic root of 10007946 is about 215.5005176891.

Adding to 10007946 its reverse (64970001), we get a palindrome (74977947).

The spelling of 10007946 in words is "ten million, seven thousand, nine hundred forty-six".