10536966 has 72 divisors (see below), whose sum is σ = 26216424. Its totient is φ = 3149280.

The previous prime is 10536961. The next prime is 10536989. The reversal of 10536966 is 66963501.

It is a super-2 number, since 2×10536966² = 222055304970312, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10536966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10536961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144306 + ... + 144378.

It is an arithmetic number, because the mean of its divisors is an integer number (364117).

Almost surely, 2^10536966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10536966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13108212).

10536966 is an abundant number, since it is smaller than the sum of its proper divisors (15679458).

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

10536966 is an frugal number, since it uses more digits than its factorization.

10536966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 10536966 is about 3246.0693153412. The cubic root of 10536966 is about 219.2326295176.

The spelling of 10536966 in words is "ten million, five hundred thirty-six thousand, nine hundred sixty-six".