2065728 has 112 divisors (see below), whose sum is σ = 6583680. Its totient is φ = 559104.

The previous prime is 2065727. The next prime is 2065729. The reversal of 2065728 is 8275602.

It is an interprime number because it is at equal distance from previous prime (2065727) and next prime (2065729).

It is a tau number, because it is divible by the number of its divisors (112).

It is a d-powerful number, because it can be written as 2² + 0 + 6⁶ + 5⁹ + 7³ + 2¹⁶ + 8² .

It is a junction number, because it is equal to n+sod(n) for n = 2065695 and 2065704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2065727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38950 + ... + 39002.

2^2065728 is an apocalyptic number.

2065728 is a gapful number since it is divisible by the number (28) 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 2065728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291840).

2065728 is an abundant number, since it is smaller than the sum of its proper divisors (4517952).

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

2065728 is a wasteful number, since it uses less digits than its factorization.

2065728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2065728 is about 1437.2640675951. The cubic root of 2065728 is about 127.3574570000.

The spelling of 2065728 in words is "two million, sixty-five thousand, seven hundred twenty-eight".