1830168 has 64 divisors (see below), whose sum is σ = 5244000. Its totient is φ = 590976.

The previous prime is 1830163. The next prime is 1830181. The reversal of 1830168 is 8610381.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830163) 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, 7878 + ... + 8106.

2^1830168 is an apocalyptic number.

1830168 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 1830168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622000).

1830168 is an abundant number, since it is smaller than the sum of its proper divisors (3413832).

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

1830168 is a wasteful number, since it uses less digits than its factorization.

1830168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 271 counting only the distinct ones).

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

The square root of 1830168 is about 1352.8370190086. The cubic root of 1830168 is about 122.3198629617.

The spelling of 1830168 in words is "one million, eight hundred thirty thousand, one hundred sixty-eight".