10008726 has 64 divisors (see below), whose sum is σ = 25740288. Its totient is φ = 2521728.

The previous prime is 10008667. The next prime is 10008727. The reversal of 10008726 is 62780001.

It is a super-2 number, since 2×10008726² = 200349192286152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10008696 and 10008705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10008727) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12160 + ... + 12956.

It is an arithmetic number, because the mean of its divisors is an integer number (402192).

Almost surely, 2^10008726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10008726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12870144).

10008726 is an abundant number, since it is smaller than the sum of its proper divisors (15731562).

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

10008726 is a wasteful number, since it uses less digits than its factorization.

10008726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 10008726 is about 3163.6570610608. The cubic root of 10008726 is about 215.5061161084.

Adding to 10008726 its reverse (62780001), we get a palindrome (72788727).

The spelling of 10008726 in words is "ten million, eight thousand, seven hundred twenty-six".