10680560 has 80 divisors (see below), whose sum is σ = 27721440. Its totient is φ = 3793920.

The previous prime is 10680521. The next prime is 10680569. The reversal of 10680560 is 6508601.

10680560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10680560² = 228148723827200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10680569) 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, 46526 + ... + 46754.

It is an arithmetic number, because the mean of its divisors is an integer number (346518).

Almost surely, 2^10680560 is an apocalyptic number.

10680560 is a gapful number since it is divisible by the number (10) 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 10680560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13860720).

10680560 is an abundant number, since it is smaller than the sum of its proper divisors (17040880).

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

10680560 is a wasteful number, since it uses less digits than its factorization.

10680560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 10680560 is about 3268.1126051591. The cubic root of 10680560 is about 220.2240142451.

The spelling of 10680560 in words is "ten million, six hundred eighty thousand, five hundred sixty".