2106560 has 56 divisors (see below), whose sum is σ = 5212080. Its totient is φ = 809984.

The previous prime is 2106551. The next prime is 2106563. The reversal of 2106560 is 656012.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2106563) by changing a digit.

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, 9167 + ... + 9393.

2^2106560 is an apocalyptic number.

2106560 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 2106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606040).

2106560 is an abundant number, since it is smaller than the sum of its proper divisors (3105520).

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

2106560 is a wasteful number, since it uses less digits than its factorization.

2106560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 2106560 is about 1451.3993247897. The cubic root of 2106560 is about 128.1911207397.

The spelling of 2106560 in words is "two million, one hundred six thousand, five hundred sixty".