1830160 has 20 divisors (see below), whose sum is σ = 4255308. Its totient is φ = 732032.

The previous prime is 1830119. The next prime is 1830163. The reversal of 1830160 is 610381.

It can be written as a sum of positive squares in 2 ways, for example, as 1183744 + 646416 = 1088^2 + 804^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (1830163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11359 + ... + 11518.

2^1830160 is an apocalyptic number.

1830160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1830160 is an abundant number, since it is smaller than the sum of its proper divisors (2425148).

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

1830160 is a wasteful number, since it uses less digits than its factorization.

1830160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22890 (or 22884 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1830160 is about 1352.8340622560. The cubic root of 1830160 is about 122.3196847339.

The spelling of 1830160 in words is "one million, eight hundred thirty thousand, one hundred sixty".