10779168 has 48 divisors (see below), whose sum is σ = 28909440. Its totient is φ = 3515136.

The previous prime is 10779163. The next prime is 10779169. The reversal of 10779168 is 86197701.

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

It is not an unprimeable number, because it can be changed into a prime (10779163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3318 + ... + 5706.

It is an arithmetic number, because the mean of its divisors is an integer number (602280).

Almost surely, 2^10779168 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 10779168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14454720).

10779168 is an abundant number, since it is smaller than the sum of its proper divisors (18130272).

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

10779168 is a wasteful number, since it uses less digits than its factorization.

10779168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 39.

The square root of 10779168 is about 3283.1643272916. The cubic root of 10779168 is about 220.8996766929.

The spelling of 10779168 in words is "ten million, seven hundred seventy-nine thousand, one hundred sixty-eight".