10497168 has 120 divisors (see below), whose sum is σ = 33584160. Its totient is φ = 3113280.

The previous prime is 10497167. The next prime is 10497191. The reversal of 10497168 is 86179401.

10497168 is a `hidden beast` number, since 1 + 0 + 497 + 168 = 666.

It is a super-2 number, since 2×10497168² = 220381072040448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10497167) 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 23 ways as a sum of consecutive naturals, for example, 223321 + ... + 223367.

It is an arithmetic number, because the mean of its divisors is an integer number (279868).

Almost surely, 2^10497168 is an apocalyptic number.

10497168 is a gapful number since it is divisible by the number (18) 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 10497168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16792080).

10497168 is an abundant number, since it is smaller than the sum of its proper divisors (23086992).

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

10497168 is a wasteful number, since it uses less digits than its factorization.

10497168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 10497168 is about 3239.9333326474. The cubic root of 10497168 is about 218.9562682429.

The spelling of 10497168 in words is "ten million, four hundred ninety-seven thousand, one hundred sixty-eight".