2068560 has 180 divisors, whose sum is σ = 7964892. Its totient is φ = 479232.

The previous prime is 2068553. The next prime is 2068579. The reversal of 2068560 is 658602.

It can be written as a sum of positive squares in 6 ways, for example, as 197136 + 1871424 = 444^2 + 1368^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121672 + ... + 121688.

2^2068560 is an apocalyptic number.

2068560 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 2068560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3982446).

2068560 is an abundant number, since it is smaller than the sum of its proper divisors (5896332).

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

2068560 is a wasteful number, since it uses less digits than its factorization.

2068560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2068560 is about 1438.2489353377. The cubic root of 2068560 is about 127.4156304577.

It can be divided in two parts, 20685 and 60, that multiplied together give a triangular number (1241100 = T₁₅₇₅).

The spelling of 2068560 in words is "two million, sixty-eight thousand, five hundred sixty".