1836160 has 64 divisors (see below), whose sum is σ = 4651200. Its totient is φ = 691200.

The previous prime is 1836157. The next prime is 1836239. The reversal of 1836160 is 616381.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12085 + ... + 12235.

It is an arithmetic number, because the mean of its divisors is an integer number (72675).

2^1836160 is an apocalyptic number.

1836160 is a gapful number since it is divisible by the number (10) 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 1836160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325600).

1836160 is an abundant number, since it is smaller than the sum of its proper divisors (2815040).

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

1836160 is a wasteful number, since it uses less digits than its factorization.

1836160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 1836160 is about 1355.0498145825. The cubic root of 1836160 is about 122.4532099521.

The spelling of 1836160 in words is "one million, eight hundred thirty-six thousand, one hundred sixty".