10997168 has 90 divisors (see below), whose sum is σ = 27162324. Its totient is φ = 4298112.

The previous prime is 10997167. The next prime is 10997171. The reversal of 10997168 is 86179901.

It is a happy number.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10997167) 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 17 ways as a sum of consecutive naturals, for example, 132455 + ... + 132537.

Almost surely, 2^10997168 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 10997168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13581162).

10997168 is an abundant number, since it is smaller than the sum of its proper divisors (16165156).

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

10997168 is a wasteful number, since it uses less digits than its factorization.

10997168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 41.

The square root of 10997168 is about 3316.1978228085. The cubic root of 10997168 is about 222.3789216260.

The spelling of 10997168 in words is "ten million, nine hundred ninety-seven thousand, one hundred sixty-eight".