2088160 has 48 divisors (see below), whose sum is σ = 5104512. Its totient is φ = 806400.

The previous prime is 2088139. The next prime is 2088199. The reversal of 2088160 is 618802.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4750 + ... + 5170.

It is an arithmetic number, because the mean of its divisors is an integer number (106344).

2^2088160 is an apocalyptic number.

2088160 is a gapful number since it is divisible by the number (20) 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 2088160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552256).

2088160 is an abundant number, since it is smaller than the sum of its proper divisors (3016352).

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

2088160 is a wasteful number, since it uses less digits than its factorization.

2088160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 2088160 is about 1445.0467120477. The cubic root of 2088160 is about 127.8167951980.

The spelling of 2088160 in words is "two million, eighty-eight thousand, one hundred sixty".