10983168 has 144 divisors (see below), whose sum is σ = 37282560. Its totient is φ = 3124224.

The previous prime is 10983163. The next prime is 10983169. The reversal of 10983168 is 86138901.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10983163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48271 + ... + 48497.

Almost surely, 2^10983168 is an apocalyptic number.

10983168 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 10983168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18641280).

10983168 is an abundant number, since it is smaller than the sum of its proper divisors (26299392).

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

10983168 is an equidigital number, since it uses as much as digits as its factorization.

10983168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 10983168 is about 3314.0862994195. The cubic root of 10983168 is about 222.2845146849.

The spelling of 10983168 in words is "ten million, nine hundred eighty-three thousand, one hundred sixty-eight".