2000960 has 84 divisors (see below), whose sum is σ = 5298948. Its totient is φ = 718848.

The previous prime is 2000959. The next prime is 2000963. The reversal of 2000960 is 690002.

It can be written as a sum of positive squares in 6 ways, for example, as 107584 + 1893376 = 328^2 + 1376^2 .

It is not an unprimeable number, because it can be changed into a prime (2000963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54062 + ... + 54098.

2^2000960 is an apocalyptic number.

2000960 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 2000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649474).

2000960 is an abundant number, since it is smaller than the sum of its proper divisors (3297988).

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

2000960 is a wasteful number, since it uses less digits than its factorization.

2000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 2000960 is about 1414.5529329085. The cubic root of 2000960 is about 126.0122605017.

Adding to 2000960 its reverse (690002), we get a palindrome (2690962).

The spelling of 2000960 in words is "two million, nine hundred sixty", and thus it is an aban number.