10966336 has 42 divisors (see below), whose sum is σ = 22543262. Its totient is φ = 5291520.

The previous prime is 10966301. The next prime is 10966339. The reversal of 10966336 is 63366901.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1081600 + 9884736 = 1040^2 + 3144^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10966339) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 179746 + ... + 179806.

Almost surely, 2^10966336 is an apocalyptic number.

10966336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10966336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11271631).

10966336 is an abundant number, since it is smaller than the sum of its proper divisors (11576926).

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

10966336 is an frugal number, since it uses more digits than its factorization.

10966336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 34.

The square root of 10966336 is about 3311.5458625844. The cubic root of 10966336 is about 222.1709042982.

The spelling of 10966336 in words is "ten million, nine hundred sixty-six thousand, three hundred thirty-six".