10683168 has 48 divisors (see below), whose sum is σ = 29524320. Its totient is φ = 3373056.

The previous prime is 10683139. The next prime is 10683193. The reversal of 10683168 is 86138601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10683168² = 228260157032448, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1105 + ... + 4752.

It is an arithmetic number, because the mean of its divisors is an integer number (615090).

Almost surely, 2^10683168 is an apocalyptic number.

It is an amenable number.

10683168 is an abundant number, since it is smaller than the sum of its proper divisors (18841152).

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

10683168 is a wasteful number, since it uses less digits than its factorization.

10683168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5889 (or 5881 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 10683168 is about 3268.5115878638. The cubic root of 10683168 is about 220.2419376963.

The spelling of 10683168 in words is "ten million, six hundred eighty-three thousand, one hundred sixty-eight".