10007406 has 12 divisors (see below), whose sum is σ = 21682752. Its totient is φ = 3335796.

The previous prime is 10007401. The next prime is 10007419. The reversal of 10007406 is 60470001.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 555967 = 10007406 / (1 + 0 + 0 + 0 + 7 + 4 + 0 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 277966 + ... + 278001.

It is an arithmetic number, because the mean of its divisors is an integer number (1806896).

Almost surely, 2^10007406 is an apocalyptic number.

10007406 is an abundant number, since it is smaller than the sum of its proper divisors (11675346).

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

10007406 is a wasteful number, since it uses less digits than its factorization.

10007406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555975 (or 555972 counting only the distinct ones).

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

The square root of 10007406 is about 3163.4484348571. The cubic root of 10007406 is about 215.4966416898.

Adding to 10007406 its reverse (60470001), we get a palindrome (70477407).

The spelling of 10007406 in words is "ten million, seven thousand, four hundred six".