1083168 has 36 divisors (see below), whose sum is σ = 3081078. Its totient is φ = 360960.

The previous prime is 1083167. The next prime is 1083191. The reversal of 1083168 is 8613801.

It can be written as a sum of positive squares in only one way, i.e., 944784 + 138384 = 972^2 + 372^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (1083167) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1593 + ... + 2168.

2^1083168 is an apocalyptic number.

1083168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1083168 is an abundant number, since it is smaller than the sum of its proper divisors (1997910).

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

1083168 is a wasteful number, since it uses less digits than its factorization.

1083168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3777 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1083168 is about 1040.7535731382. The cubic root of 1083168 is about 102.6987774597.

Adding to 1083168 its reverse (8613801), we get a palindrome (9696969).

The spelling of 1083168 in words is "one million, eighty-three thousand, one hundred sixty-eight".