10726164 has 36 divisors (see below), whose sum is σ = 27524224. Its totient is φ = 3521232.

The previous prime is 10726153. The next prime is 10726171. The reversal of 10726164 is 46162701.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 189 + ... + 4635.

Almost surely, 2^10726164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10726164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13762112).

10726164 is an abundant number, since it is smaller than the sum of its proper divisors (16798060).

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

10726164 is a wasteful number, since it uses less digits than its factorization.

10726164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524 (or 4519 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10726164 is about 3275.0822890425. The cubic root of 10726164 is about 220.5370076870.

Adding to 10726164 its reverse (46162701), we get a palindrome (56888865).

The spelling of 10726164 in words is "ten million, seven hundred twenty-six thousand, one hundred sixty-four".