1803168 has 48 divisors (see below), whose sum is σ = 5261760. Its totient is φ = 600768.

The previous prime is 1803167. The next prime is 1803169. The reversal of 1803168 is 8613081.

It is an interprime number because it is at equal distance from previous prime (1803167) and next prime (1803169).

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1803163) 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, 180 + ... + 1907.

It is an arithmetic number, because the mean of its divisors is an integer number (109620).

2^1803168 is an apocalyptic number.

1803168 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 1803168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630880).

1803168 is an abundant number, since it is smaller than the sum of its proper divisors (3458592).

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

1803168 is a wasteful number, since it uses less digits than its factorization.

1803168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2092 counting only the distinct ones).

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

The square root of 1803168 is about 1342.8209113653. The cubic root of 1803168 is about 121.7153625886.

The spelling of 1803168 in words is "one million, eight hundred three thousand, one hundred sixty-eight".